Question

solve |7-2x|≤13 what is solution

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Answer 1

Answer:

|7-2x|≤13

=> -13 ≤ 7-2x ≤13

=> -19 ≤-2x ≤ 6

=> -6 ≤ 2x ≤19

=> -3 ≤ x ≤19/2

Answer 2

$|7-2x|\leq13\\\\-13\leq7-2x\leq13\quad\quad\text{OR}\quad\quad 7-2x\in[-13,\ 13]\\\\-13-7\leq7-2x-7\leq13-7\quad\quad\text{OR}\quad\quad 7-2x-7\in[-13-7,\ 13-7]\\\\-20\leq-2x\leq6\quad\quad\text{OR}\quad\quad -2x\in[-20,\ 6]\\\\-6\leq2x\leq20\quad\quad\text{OR}\quad\quad 2x\in[-6,\ 20]\\\\\large\boxed{\mathbf{-3\leq x\leq10\quad\quad\text{OR}\quad\quad x\in[-3,\ 10]}}$