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
1 answer:
The absolute value of a number <em>a</em> 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 <em>positive case,</em>
x − 6 ≥ 5
x − 6 + 6 ≥ 5 + 6
x ≥ 11
Taking <em>negative case,</em>
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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