Question

Mark the correct alternatives in each of the following:
The modulus of an integer x is 9, then
(a) x = 9 only

(b) x = −9 only

(c) x = ± 9

(d) None of these

Answer 1

The modulus (or absolute value) of an integer is its numerical value regardless of its sign. The absolute value of an integer is always non-negative.
It is given that,
Modulus of x = | x | = 9
Now, | −9 | = 9 and | 9 | = 9
∴ x = −9 or x = 9
⇒ x = ± 9
Hence, the correct answer is option (c).