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Graph {x≤0y≥0y≤3\left\{ \begin{array} { l } x \leq 0 \\y \geq 0 \\y \leq 3\end{array} \right. Graph \left\{ \begin{array} { l } x \leq 0 \\ y \geq 0 \\ y \leq 3 \end{array} \right.

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Solve the compound inequality. Graph the solution set (if one exists) and write it using interval notation. 5x−5>55 x - 5 > 5 and x+2≤10x + 2 \leq 10


A) (2,8]( 2,8 ]
Solve the compound inequality. Graph the solution set (if one exists) and write it using interval notation. 5 x - 5 > 5 and x + 2 \leq 10 A) ( 2,8 ] B) ( - \infty , 2 ) \cup [ 8 , \infty ) C) ( 2 , \infty ) D) ( - \infty , 8 ] E) ( 2,8 )
B) (−∞,2) ∪[8,∞) ( - \infty , 2 ) \cup [ 8 , \infty )
Solve the compound inequality. Graph the solution set (if one exists) and write it using interval notation. 5 x - 5 > 5 and x + 2 \leq 10 A) ( 2,8 ] B) ( - \infty , 2 ) \cup [ 8 , \infty ) C) ( 2 , \infty ) D) ( - \infty , 8 ] E) ( 2,8 )
C) (2,∞) ( 2 , \infty )
Solve the compound inequality. Graph the solution set (if one exists) and write it using interval notation. 5 x - 5 > 5 and x + 2 \leq 10 A) ( 2,8 ] B) ( - \infty , 2 ) \cup [ 8 , \infty ) C) ( 2 , \infty ) D) ( - \infty , 8 ] E) ( 2,8 )
D) (−∞,8]( - \infty , 8 ]
Solve the compound inequality. Graph the solution set (if one exists) and write it using interval notation. 5 x - 5 > 5 and x + 2 \leq 10 A) ( 2,8 ] B) ( - \infty , 2 ) \cup [ 8 , \infty ) C) ( 2 , \infty ) D) ( - \infty , 8 ] E) ( 2,8 )
E) (2,8) ( 2,8 )
Solve the compound inequality. Graph the solution set (if one exists) and write it using interval notation. 5 x - 5 > 5 and x + 2 \leq 10 A) ( 2,8 ] B) ( - \infty , 2 ) \cup [ 8 , \infty ) C) ( 2 , \infty ) D) ( - \infty , 8 ] E) ( 2,8 )

F) A) and E)
G) None of the above

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Two health insurance plans are offered to employees of a company. Plan I has a $600 deductible and then pays 70% of the rest of the cost versus Plan II that has a $2400 deductible and then pays 90% of the rest of the cost. What would annual medical costs have to be for Plan II to be the least expensive?

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The graph of a set of real numbers that is a portion of a number line is called a(n) _________.

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Which of the following ordered pairs can be used as a test point to determine which region to shade in the inequality 3x−4y3 x - 4 y < 12 ?


A) (5,34) \left( 5 , \frac { 3 } { 4 } \right)
B) (0,-3)
C) (−2,−92) \left( - 2 , - \frac { 9 } { 2 } \right)
D) (−1,154) \left( - 1 , \frac { 15 } { 4 } \right)

E) B) and C)
F) All of the above

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Write −2≤x- 2 \leq x in interval notation.


A) (−∞,−2]( - \infty , - 2 ]
B) (−2,∞) ( - 2 , \infty )
C) (−∞,−2) ( - \infty , - 2 )
D) [−2,∞) [ - 2 , \infty )

E) A) and B)
F) None of the above

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Graph the solution set for x<−2x < - 2 and x<1x < 1


A) Graph the solution set for x < - 2 and x < 1 A) B) C) D)
B) Graph the solution set for x < - 2 and x < 1 A) B) C) D)
C) Graph the solution set for x < - 2 and x < 1 A) B) C) D)
D) Graph the solution set for x < - 2 and x < 1 A) B) C) D)

E) A) and B)
F) B) and D)

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Solve the equation. ∣8−5x∣−8=15| 8 - 5 x | - 8 = 15 If there is more than one solution, separate your answers with commas. If the equation has no solution, enter no solution .

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Describe the graph of xy=0x y = 0 .

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The graph ...

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Solve the equation. ∣7x+10∣=∣2x−5∣| 7 x + 10 | = | 2 x - 5 | If there is more than one solution, separate your answers with commas. If the equation has no solution, enter no solution .

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Solve the compound inequality. Graph the solution set (if one exists) and write it using interval notation. x−3<−5x - 3 < - 5 or x−4>0x - 4 > 0


A) (−∞,−2) ( - \infty , - 2 )
Solve the compound inequality. Graph the solution set (if one exists) and write it using interval notation. x - 3 < - 5 or x - 4 > 0 A) ( - \infty , - 2 ) B) ( - \infty , - 2 ) \cup ( 4 , \infty ) C) ( 4 , \infty ) D) ( - \infty , \infty ) E) \varnothing
B) (−∞,−2) ∪(4,∞) ( - \infty , - 2 ) \cup ( 4 , \infty )
Solve the compound inequality. Graph the solution set (if one exists) and write it using interval notation. x - 3 < - 5 or x - 4 > 0 A) ( - \infty , - 2 ) B) ( - \infty , - 2 ) \cup ( 4 , \infty ) C) ( 4 , \infty ) D) ( - \infty , \infty ) E) \varnothing
C) (4,∞) ( 4 , \infty )
Solve the compound inequality. Graph the solution set (if one exists) and write it using interval notation. x - 3 < - 5 or x - 4 > 0 A) ( - \infty , - 2 ) B) ( - \infty , - 2 ) \cup ( 4 , \infty ) C) ( 4 , \infty ) D) ( - \infty , \infty ) E) \varnothing
D) (−∞,∞) ( - \infty , \infty )
Solve the compound inequality. Graph the solution set (if one exists) and write it using interval notation. x - 3 < - 5 or x - 4 > 0 A) ( - \infty , - 2 ) B) ( - \infty , - 2 ) \cup ( 4 , \infty ) C) ( 4 , \infty ) D) ( - \infty , \infty ) E) \varnothing
E) ∅\varnothing
Solve the compound inequality. Graph the solution set (if one exists) and write it using interval notation. x - 3 < - 5 or x - 4 > 0 A) ( - \infty , - 2 ) B) ( - \infty , - 2 ) \cup ( 4 , \infty ) C) ( 4 , \infty ) D) ( - \infty , \infty ) E) \varnothing

F) A) and C)
G) None of the above

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Determine whether each point satisfies the system of linear inequalities. {x+y≤2x−3y>10\left\{ \begin{array} { l } x + y \leq 2 \\x - 3 y > 10\end{array} \right. (1,-2) __________ (2,-3) __________ (1,-5) __________ (-12,-2) __________

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Let f(x) =∣x−4∣f ( x ) = | x - 4 | . For what value(s) of x is f(x) =2f ( x ) = 2


A) x=6x = 6
B) x=−2x = - 2
C) x=2,x=6x = 2 , x = 6
D) x=−2,x=6x = - 2 , x = 6

E) B) and C)
F) A) and B)

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Determine if (3,-5) is a solution of 4x+3y4 x + 3 y ?3 .


A) solution
B) not a solution

C) A) and B)
D) undefined

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Match each equation, inequality, or system with the graph of its solution. - Match each equation, inequality, or system with the graph of its solution. - A) \left\{ \begin{array} { l } 4 x + 3 y \geq - 4 \\ 4 x - 3 y \leq - 4 \end{array} \right. B) 4 x + 3 y = - 12 C) \left\{ \begin{array} { l } 4 x + 3 y = - 12 \\ 4 x - 3 y = - 12 \end{array} \right. D) 4 x - 3 y \geq - 4


A) {4x+3y≥−44x−3y≤−4\left\{ \begin{array} { l } 4 x + 3 y \geq - 4 \\4 x - 3 y \leq - 4\end{array} \right.
B) 4x+3y=−124 x + 3 y = - 12
C) {4x+3y=−124x−3y=−12\left\{ \begin{array} { l } 4 x + 3 y = - 12 \\4 x - 3 y = - 12\end{array} \right.
D) 4x−3y≥−44 x - 3 y \geq - 4

E) None of the above
F) B) and D)

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{x−y<2x+y>4\left\{ \begin{array} { l } x - y < 2 \\x + y > 4\end{array} \right. is a system of linear __________ in two variables.

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Solve the inequality and graph the solution set. 0.4x+0.33≤0.1x+0.810.4 x + 0.33 \leq 0.1 x + 0.81


A) (−∞,1.7]( - \infty , 1.7 ]
Solve the inequality and graph the solution set. 0.4 x + 0.33 \leq 0.1 x + 0.81 A) ( - \infty , 1.7 ] B) ( - \infty , 1.6 ] C) ( - \infty , 1.8 ) D) ( - \infty , \infty ) E) \varnothing
B) (−∞,1.6]( - \infty , 1.6 ]
Solve the inequality and graph the solution set. 0.4 x + 0.33 \leq 0.1 x + 0.81 A) ( - \infty , 1.7 ] B) ( - \infty , 1.6 ] C) ( - \infty , 1.8 ) D) ( - \infty , \infty ) E) \varnothing
C) (−∞,1.8) ( - \infty , 1.8 )
Solve the inequality and graph the solution set. 0.4 x + 0.33 \leq 0.1 x + 0.81 A) ( - \infty , 1.7 ] B) ( - \infty , 1.6 ] C) ( - \infty , 1.8 ) D) ( - \infty , \infty ) E) \varnothing
D)
(−∞,∞) ( - \infty , \infty )
Solve the inequality and graph the solution set. 0.4 x + 0.33 \leq 0.1 x + 0.81 A) ( - \infty , 1.7 ] B) ( - \infty , 1.6 ] C) ( - \infty , 1.8 ) D) ( - \infty , \infty ) E) \varnothing
E)
∅\varnothing
Solve the inequality and graph the solution set. 0.4 x + 0.33 \leq 0.1 x + 0.81 A) ( - \infty , 1.7 ] B) ( - \infty , 1.6 ] C) ( - \infty , 1.8 ) D) ( - \infty , \infty ) E) \varnothing

F) All of the above
G) A) and B)

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When two equations are joined by the word or , such as x+1=5x + 1 = 5 or x+1=−5x + 1 = - 5 , we call the statement a __________ equation.

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When two equations are joined by the wor...

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The __________ of two sets is the set of elements that are common to both sets and the __________ of two sets is the set of elements that are in one set, or the other, or both.

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Solve and graph the inequality: −2x−6≤8- 2 x - 6 \leq 8


A) Solve and graph the inequality: - 2 x - 6 \leq 8 A) B) C) D)
B) Solve and graph the inequality: - 2 x - 6 \leq 8 A) B) C) D)
C) Solve and graph the inequality: - 2 x - 6 \leq 8 A) B) C) D)
D) Solve and graph the inequality: - 2 x - 6 \leq 8 A) B) C) D)

E) A) and D)
F) A) and C)

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