Solve |2x 1| ≤ 5

Evaluate

∣ 2 x \times 1 ∣ \leq 5

Simplify

More Steps

2 ∣ x ∣ \leq 5

Divide both sides

\frac{2 ∣ x ∣}{2} \leq \frac{5}{2}

Divide the numbers

∣ x ∣ \leq \frac{5}{2}

Separate the inequality into 2 possible cases

{x \leq \frac{5}{2} x \geq - \frac{5}{2}

Solution

- \frac{5}{2} \leq x \leq \frac{5}{2}

Alternative Form

x \in [- \frac{5}{2}, \frac{5}{2}]

Solve the inequality