Question

Select the correct answer. What is the solution to |x − 6| ≥ 5? A. 1 ≤ x ≤ 11 B. -11 ≤ x ≤ 1 C. x ≥ 11 or x ≤ 1 D. x ≥ 1 or x ≤ -11

Answer 1

The absolute value of a number a is written as  |a|  . And represents the distance between a and 0 on a number line.

So, Option C. x≥ 11 or x ≤ 1 is correct answer

Inequality given is,

                              |x − 6| ≥ 5

Taking positive case,

                               x − 6 ≥ 5

                               x − 6 + 6 ≥ 5 + 6

                                x ≥ 11

Taking negative case,

                                 x − 6 ≤  - 5

                                x - 6 + 6 ≤ -5 + 6

                                   x ≤ 1

So, solution of given inequality is  x ≥ 11 or   x ≤ 1

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