Question

The value of x for |x-9| <2 is -------------------
A)7
B)11
C)0
D)7

Answer 1

Answer:

7< x < 11

Step-by-step explanation:

If |x| < a then, -a < |x| < a

Here, applying the same,

-2 < x-9< 2

7 < x < 11

Here, none of the options are right because if x = 7, 7-9 is -2 and mod of -2 is 2 and 11-9 = 2 both these values do not satisfy the given condition, putting x=0 gives mod of -9 which is 9 and 9 cannot be less than 2 hence none of the options are right.