Question

The value x if |x-5| =7 is

Answer 1

ANSWER:

Given:

• |x - 5| = 7

To Find:

• Value of x

Solution:

We are given that,

⇒ |x - 5| = 7

We know that,

↪ |a| = ±a

So,

⇒ |x - 5| = 7

⇒ ±(x - 5)= 7

For Positive,

⇒ x - 5 = 7

⇒ x = 7 + 5

⇒ x = 12

For Negative,

⇒ -(x - 5) = 7

⇒ x - 5 = -7

⇒ x = -7 + 5

⇒ x = -2

Therefore, for |x - 5| = 7, value of x is 12 and -2 both.

Formula used:

• |a| = ±a