Solve 3|x-7|<27 - ScanMath

Evaluate

3 ∣ x - 7 ∣ < 27

Divide both sides

\frac{3 ∣ x - 7 ∣}{3} < \frac{27}{3}

Divide the numbers

∣ x - 7 ∣ < \frac{27}{3}

Divide the numbers

More Steps

∣ x - 7 ∣ < 9

Separate the inequality into 2 possible cases

{x - 7 < 9 x - 7 > - 9

Solve the inequality for x

More Steps

{x < 16 x - 7 > - 9

Solve the inequality for x

More Steps

{x < 16 x > - 2

Solution

- 2 < x < 16

Alternative Form

x \in (- 2, 16)