Solve 5|x-9|<9 - ScanMath

Evaluate

5 ∣ x - 9 ∣ < 9

Divide both sides

\frac{5 ∣ x - 9 ∣}{5} < \frac{9}{5}

Divide the numbers

∣ x - 9 ∣ < \frac{9}{5}

Separate the inequality into 2 possible cases

{x - 9 < \frac{9}{5} x - 9 > - \frac{9}{5}

Solve the inequality for x

More Steps

{x < \frac{54}{5} x - 9 > - \frac{9}{5}

Solve the inequality for x

More Steps

{x < \frac{54}{5} x > \frac{36}{5}

Solution

\frac{36}{5} < x < \frac{54}{5}

Alternative Form

x \in (\frac{36}{5}, \frac{54}{5})