Solve the compound or absolute value inequality.
-$18 \leq 7 x-3$ and $8 x-6

Name: Solve the compound or absolute value inequality. -$18 \leq 7 x-3$ and $8 x-6<50$ A) $(3,7]$ B) $(3,7)$ C) $[3,7]$ D) $[3,7)$
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Question

Solve the compound or absolute value inequality.
-$18 \leq 7 x-3$ and $8 x-6<50$
A) $(3,7]$
B) $(3,7)$
C) $[3,7]$
D) $[3,7)$

Quizplus · Accepted Answer

First, solve each inequality: For $18 \leq 7x - 3$, add 3 to both sides to get $21 \leq 7x$, then divide by 7 to get $x \geq 3$. For $8x - 6 < 50$, add 6 to both sides to get $8x < 56$, then divide by 8 to get $x < 7$. Combining these gives $3 \leq x < 7$, which matches option D.

Solve the Compound or Absolute Value Inequality 18≤7x−318 \leq 7 x-318≤7x−3

Solve the Compound or Absolute Value Inequality $18 \leq 7 x-3$