Question

Solve the following inequality algebraically. ∣x−5∣≤11

Answer 1

-6 ≤ x ≤ 16

Explanation:

First, apply absolute value rule:

x - 5 ≤ 11 and x - 5 ≥ -11

Then, we add 5 on both sides with both inequalities:

x ≤ 16 and x ≥ -6

Finally, combine the inequalities:

-6 ≤ x ≤ 16

And we're done ^^