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A092-Absolute Value Inequalities

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Solve each equation. $\mid \dfrac{x}{3} \mid \geq 5$

$2 \leq x \leq 8$

$x \textless -4$ or $x \textgreater 7$

$x \geq 15$ or $x \leq -15$

$x \leq 2$ or $x \geq 8$

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Question 1 of 10

Solve each equation. $\mid a + 8 \mid \geq 17$

$a \geq 9$ or $a \leq -25$

$-9 \textless a \leq 10$

$a \textless -2$ or $a \geq -1$

$-2 \textless a \leq 1$

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Question 2 of 10

Solve each equation. $\mid v - 2 \mid \leq 6$

$-9 \textless v \textless -5$

$-4 \leq v \leq -8$

$v \textgreater 7$ or $v \textless -19$

$-10 \textless v \textless 28$

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Question 3 of 10

Solve each equation. $\mid \dfrac{n}{9} \mid \geq 5$

$-45 \leq n \leq 45$

$-8 \textless n \textless 5$

$n \geq 2$ or $n \leq -2$

$n \geq 45$ or $n \leq -45$

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Question 4 of 10

Solve each equation. $\mid a + 4 \mid \textless 4$

$-8 \textless a \textless 0$

$a \leq -8$ or $a \textgreater 5$

$a \leq -9$ or $a \geq 1$

$6 \textless a \textless 8$

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Question 5 of 10

Solve each equation. $\mid -6a \mid \geq 60$

$a \geq 22$ or $a \leq -6$

$a \leq -10$ or $a \geq 10$

$-10 \textless a \textless 10$

$a > 10$ or $a \textless -10$

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Question 6 of 10

Solve each equation. $\mid x - 5 \mid \geq 14$

$-\dfrac{71}{9} \leq x \leq 7$

$x \leq 7$ or $x \textgreater 9$

$x \geq 19$ or $x \leq -9$

$-7 \leq x \leq 9$

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Question 7 of 10

Solve each equation. $\mid -5b - 2 \mid \textgreater 38$

$b \textless -7$ or $b \textgreater 5$

$b \textless -8$ or $b \textgreater \dfrac{36}{5}$

$-8 \textless b \textless \dfrac{36}{5}$

$-7 \textless b \textless 5$

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Question 8 of 10

Solve each equation. $\dfrac{\mid 10a - 3 \mid}{3} \leq 3$

$-\dfrac{3}{5} \leq a \leq \dfrac{6}{5}$

$-8 \textless a \textless 10$

$a \geq \dfrac{6}{5}$ or $a \leq - \dfrac{3}{5}$

$-\dfrac{31}{6} \textless a \textless \dfrac{25}{6}$

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Question 9 of 10

Solve each equation. $2 \mid -8 - 9x \mid \textless 92$

$- \dfrac{16}{5} \textless x \textless - \dfrac{4}{5}$

$x \textgreater 3$ or $x \textless -9$

$x \textgreater 6$ or $x \textless -4$

$-6 \textless x \textless \dfrac{38}{9}$

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Question 10 of 10

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