Solve |2-(5m/2)|<14

Evaluate

2 - (5 \times \frac{m}{2}) < 14

Simplify

More Steps

\frac{1}{2} ∣ 4 - 5 m ∣ < 14

Rewrite the expression

\frac{∣ 4 - 5 m ∣}{2} < 14

Multiply both sides

∣ 4 - 5 m ∣ < 28

Separate the inequality into 2 possible cases

{4 - 5 m < 28 4 - 5 m > - 28

Solve the inequality for m

More Steps

{m > - \frac{24}{5} 4 - 5 m > - 28

Solve the inequality for m

More Steps

{m > - \frac{24}{5} m < \frac{32}{5}

Solution

- \frac{24}{5} < m < \frac{32}{5}

Alternative Form

m \in (- \frac{24}{5}, \frac{32}{5})