If x is greater than 2, then |2 − x| =

(a) 2 − x (b) x − 2 (c) 2 + x (d) − x − 2

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Solution

If a is negative integer, then |a| = − a.
Here, x is greater than 2. So, 2 − x is negative.
Therefore, |2 − x| = − (2 − x) = − 2 + x = x − 2.
Hence, the correct option is (b).

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