Solve for x. |3 – x| < 7 – InterviewSolution

1.	Solve for x. \|3 – x\| < 7
Answer» ⇒ -7 < 3 – x < 7 3 – x > -7 -x > -7 -3 (= -10) -x > -10 ⇒ x < 10 ..... (1) 3 – x < 7 – x < 7 – 3 (= 4) – x < 4x > -4 ..... (2) From (2) and (1) ⇒ x > -4 and x < 10 ⇒ -4 < x < 10

Solve for x. |3 – x| < 7

Answer»

⇒ -7 < 3 – x < 7 3 – x > -7

-x > -7 -3 (= -10)

-x > -10 ⇒ x < 10 ..... (1)

3 – x < 7

– x < 7 – 3 (= 4)

– x < 4x > -4 ..... (2)

From (2) and (1) ⇒ x > -4 and x < 10

⇒ -4 < x < 10