Solve |x 8|<=2 - ScanMath

Evaluate

∣ x \times 8 ∣ \leq 2

Simplify

More Steps

8 ∣ x ∣ \leq 2

Divide both sides

\frac{8 ∣ x ∣}{8} \leq \frac{2}{8}

Divide the numbers

∣ x ∣ \leq \frac{2}{8}

Cancel out the common factor 2

∣ x ∣ \leq \frac{1}{4}

Separate the inequality into 2 possible cases

{x \leq \frac{1}{4} x \geq - \frac{1}{4}

Solution

- \frac{1}{4} \leq x \leq \frac{1}{4}

Alternative Form

x \in [- \frac{1}{4}, \frac{1}{4}]

Solve the inequality