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

-6 ≤ x ≤ 16

Step-by-step 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 ^^

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step-by-step explanation: