Solve -3(2x+2)<10

Evaluate

- 3 (2 x + 2) < 10

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

3 (2 x + 2) > - 10

Divide both sides

\frac{3 ( 2 x + 2 )}{3} > \frac{- 10}{3}

Divide the numbers

2 x + 2 > \frac{- 10}{3}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

2 x + 2 > - \frac{10}{3}

Move the constant to the right side

2 x > - \frac{10}{3} - 2

Subtract the numbers

More Steps

2 x > - \frac{16}{3}

Multiply by the reciprocal

2 x \times \frac{1}{2} > - \frac{16}{3} \times \frac{1}{2}

Multiply

x > - \frac{16}{3} \times \frac{1}{2}

Solution

More Steps

x > - \frac{8}{3}

Alternative Form

x \in (- \frac{8}{3}, + \infty)

Solve the inequality