Solve |4 - 2x| < 5

Evaluate

∣ 4 - 2 x ∣ < 5

Simplify

More Steps

2 ∣ 2 - x ∣ < 5

Divide both sides

\frac{2 ∣ 2 - x ∣}{2} < \frac{5}{2}

Divide the numbers

∣ 2 - x ∣ < \frac{5}{2}

Separate the inequality into 2 possible cases

{2 - x < \frac{5}{2} 2 - x > - \frac{5}{2}

Solve the inequality for x

More Steps

{x > - \frac{1}{2} 2 - x > - \frac{5}{2}

Solve the inequality for x

More Steps

{x > - \frac{1}{2} x < \frac{9}{2}

Solution

- \frac{1}{2} < x < \frac{9}{2}

Alternative Form

x \in (- \frac{1}{2}, \frac{9}{2})