Solve |-10p-2|>5 - ScanMath

Evaluate

∣ - 10 p - 2 ∣ > 5

Calculate the absolute value

More Steps

2 ∣ 5 p + 1 ∣ > 5

Divide both sides

\frac{2 ∣ 5 p + 1 ∣}{2} > \frac{5}{2}

Divide the numbers

∣ 5 p + 1 ∣ > \frac{5}{2}

Separate the inequality into 2 possible cases

5 p + 1 > \frac{5}{2} 5 p + 1 < - \frac{5}{2}

Solve the inequality for p

More Steps

p > \frac{3}{10} 5 p + 1 < - \frac{5}{2}

Solve the inequality for p

More Steps

p > \frac{3}{10} p < - \frac{7}{10}

Solution

p \in (- \infty, - \frac{7}{10}) \cup (\frac{3}{10}, + \infty)