Solve 8(-7x-23) 15<-729

Evaluate

8 (- 7 x - 23) \times 15 < - 729

Multiply the terms

120 (- 7 x - 23) < - 729

Divide both sides

\frac{120 ( - 7 x - 23 )}{120} < \frac{- 729}{120}

Divide the numbers

- 7 x - 23 < \frac{- 729}{120}

Divide the numbers

More Steps

- 7 x - 23 < - \frac{243}{40}

Move the constant to the right side

- 7 x < - \frac{243}{40} + 23

Add the numbers

More Steps

- 7 x < \frac{677}{40}

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

7 x > - \frac{677}{40}

Multiply by the reciprocal

7 x \times \frac{1}{7} > - \frac{677}{40} \times \frac{1}{7}

Multiply

x > - \frac{677}{40} \times \frac{1}{7}

Solution

More Steps

x > - \frac{677}{280}

Alternative Form

x \in (- \frac{677}{280}, + \infty)

Solve the inequality