Solve 2-|-10p-2|<-10

Evaluate

2 - ∣ - 10 p - 2 ∣ < - 10

Calculate the absolute value

More Steps

2 - 2 ∣ 5 p + 1 ∣ < - 10

Move the expression to the left side

2 - 2 ∣ 5 p + 1 ∣ - (- 10) < 0

Subtract the numbers

More Steps

12 - 2 ∣ 5 p + 1 ∣ < 0

Rewrite the expression

- 2 ∣ 5 p + 1 ∣ < - 12

Change the signs on both sides of the inequality and flip the inequality sign

2 ∣ 5 p + 1 ∣ > 12

Divide both sides

\frac{2 ∣ 5 p + 1 ∣}{2} > \frac{12}{2}

Divide the numbers

∣ 5 p + 1 ∣ > \frac{12}{2}

Divide the numbers

More Steps

∣ 5 p + 1 ∣ > 6

Separate the inequality into 2 possible cases

5 p + 1 > 6 5 p + 1 < - 6

Solve the inequality for p

More Steps

p > 1 5 p + 1 < - 6

Solve the inequality for p

More Steps

p > 1 p < - \frac{7}{5}

Solution

p \in (- \infty, - \frac{7}{5}) \cup (1, + \infty)