Question

If an integer a is greater than 7, then |7 − a| =
(a) 7 − a (b) a − 7 (c) 7 + a (d) − 7 − a

Answer 1

If x is negative integer, then |x| = − x.
Here, a is greater than 7, so 7 − a is negative.
Therefore
|7 − a| = − (7 − a) = − 7 + a = a − 7
Hence, the correct option is (b).