Solve |2x-8|>7 - ScanMath

Evaluate

∣ 2 x - 8 ∣ > 7

Simplify

More Steps

2 ∣ x - 4 ∣ > 7

Divide both sides

\frac{2 ∣ x - 4 ∣}{2} > \frac{7}{2}

Divide the numbers

∣ x - 4 ∣ > \frac{7}{2}

Separate the inequality into 2 possible cases

x - 4 > \frac{7}{2} x - 4 < - \frac{7}{2}

Solve the inequality for x

More Steps

x > \frac{15}{2} x - 4 < - \frac{7}{2}

Solve the inequality for x

More Steps

x > \frac{15}{2} x < \frac{1}{2}

Solution

x \in (- \infty, \frac{1}{2}) \cup (\frac{15}{2}, + \infty)