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2. Linear Equations and Inequalities

Set Operations and Compound Inequalities

2. Linear Equations and Inequalities

Set Operations and Compound Inequalities

Multiple Choice
Solve the compound inequality. Express the answer in interval notation.
(A) $x over 3 is greater than 2$ or $4 x plus 1 is less than 5$
Multiple Choice
Given $A = {2, 4, 6, 8}$ , $B = {4, 8, 12, 16}$ , $C = {8}$ , find the following:
(C) $C \cap ϕ$
Multiple Choice
Solve the following inequalities and graph the solution.
$- 6 < 2 x - 4 < 4$
Multiple Choice
Solve the following inequalities and express the answer in interval notation.
$1 < \frac{x - 2}{2} \leq 4$
Multiple Choice
Solve the following inequalities and express the answer in interval notation.
$- 4 \leq 2 x + 1 \leq 7$
Multiple Choice
Solve the compound inequality. Express the answer in interval notation.
(B) $x plus 1 is less than or equal to 9$ and $x plus 2 is greater than 3$
Multiple Choice
Solve the compound inequality. Express the answer in interval notation.
(B) $2 x minus 3 is less than or equal to 1$ or $- x + 4 \leq 10$
Multiple Choice
Solve the following inequalities and graph the solution.
$- 6 \leq 0.5 (x - 4) < - 3$
Multiple Choice
Solve the compound inequality. Express the answer in interval notation.
(A) $- 3 x + 1 \leq 4$ and $x minus 2 is less than 3$
Multiple Choice
Given $A = {2, 4, 6, 8}$ , $B = {4, 8, 12, 16}$ , $C = {8}$ , find the following:
(A) $A \cap C$
Multiple Choice
Given $A = {2, 4, 6, 8}$ , $B = {4, 8, 12, 16}$ , $C = {8}$ , find the following:
(B) $A \cup B$