Question

Please help me with this question.
$|\frac{3x - 5}{7} | \leq 3$

Answer 1

Answer:

$x\:$∈$[\: \frac{-16}{3} , \frac{26}{3} ]$

Step-by-step explanation:

$|\frac{3x-5}{7}| \leq 3\\\\\boxed {|x| \leq a \implies -a \leq x \leq a}\\\\\implies -3 \leq \frac{3x-5}{7} \leq 3\\\\\implies -21 \leq 3x - 5 \leq 21\\\\\implies -16 \leq 3x \leq 26\\\\\implies \frac{-16}{3} \leq x \leq \frac{26}{3}$