Answer:
-3/7 ≤ x ≤ 3/7
Step-by-step explanation:
5|7 x|- 10 ≤ 5
Add 10 to each side
5|7 x|- 10+10 ≤ 5+10
5|7 x| ≤ 15
Divide by 5
5|7 x|/5 ≤ 15/5
|7 x|≤ 3
Separate into two inequalities, one positive and one negative, remembering to flip the inequality for the negative
7 x≤ 3 and 7x≥-3
Divide each side by 7
7 x/7≤ 3/7 and 7x/7≥-3/7
x≤ 3/7 and x≥-3/7
Rewriting as one equation
-3/7 ≤ x ≤ 3/7
