Solve | (4x-3)/2 |<6

Evaluate

\frac{4 x - 3}{2} < 6

Simplify

More Steps

\frac{1}{2} ∣ 4 x - 3 ∣ < 6

Rewrite the expression

\frac{∣ 4 x - 3 ∣}{2} < 6

Multiply both sides

∣ 4 x - 3 ∣ < 12

Separate the inequality into 2 possible cases

{4 x - 3 < 12 4 x - 3 > - 12

Solve the inequality for x

More Steps

{x < \frac{15}{4} 4 x - 3 > - 12

Solve the inequality for x

More Steps

{x < \frac{15}{4} x > - \frac{9}{4}

Solution

- \frac{9}{4} < x < \frac{15}{4}

Alternative Form

x \in (- \frac{9}{4}, \frac{15}{4})