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A092B- Absolute Value Inequalities

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Solve each inequality.

$6|-5x|> 30$

$x \textless -1$ or $x \textgreater 1$

$-\frac{4}{3} \leq x \leq \frac{4}{3}$

$x \textgreater 1$ or $x \textless -19$

$-19 \textless x \textless 1$

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Question 1 of 10

$-10|p +6|\geq -100$

$p \leq -4$ or $p \geq 2$

$p \leq -8$ or $p \geq -7$

$-16 \leq p \leq 4$

$p \leq - 3$ or $p \geq 6$

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Question 2 of 10

$-5 + |\frac{x}{3}|\geq -4$

$-3 \leq x \leq 3$

$x \geq 3$ or $x \leq -3$

$-\frac{4}{3} \leq x \leq \frac{4}{3}$

$-7 \leq x \leq -4$

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Question 3 of 10

$10 + |\frac{x}{5}| \textless 11$

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

$-9 \textless x \textless 9$

$-4 \textless x \textless 8$

$-5 \textless x \textless 5$

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Question 4 of 10

$|\frac{v}{5}|+ 9 \leq 11$

$v \geq 10$ or $v \leq - 10$

$-10 \leq v \leq 10$

$-3 \leq v \leq 8$

$v \leq -3$ or $v \geq 8$

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Question 5 of 10

$|-9x|-6 \textgreater 48$

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

$x \textgreater 10$ or $x \textless -14$

$-1 \leq x \textless 9$

$x \leq -1$ or $x \textgreater 9$

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Question 6 of 10

$8|x +7|\geq 72$

$-9 \textless x \textless 9$

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

$x \geq 2$ or $x \leq - 16$

$-15 \leq x \leq 15$

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Question 7 of 10

$5 + |-4v| \geq 33$

$v \textless -1$ or $v \textgreater 1$

$v \geq -7$ or $v \leq 7$

$v \textless -10$ or $v \textgreater -9$

$-10 \textless v \textless -9$

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Question 8 of 10

$-2+ |5r - 8| \textless 30$

$-\frac{24}{5} \textless r \textless 8$

$r \leq -9$ or $r \geq 9$

$\frac{1}{3} \textless r \textless 1$

{All real numbers}

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Question 9 of 10

$6|6k -8| \geq 12$

$0 \textless k \textless 8$

$k \geq \frac{5}{3}$ or $k \leq 1$

$k \leq - 10$ or $k \textgreater -9$

$-10 \leq k \textless -9$

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Question 10 of 10

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