Solve 9(4x-8)<4(6x 9)

Evaluate

9 (4 x - 8) < 4 (6 x \times 9)

Remove the parentheses

9 (4 x - 8) < 4 \times 6 x \times 9

Simplify

4 x - 8 < 4 \times 6 x

Multiply the terms

4 x - 8 < 24 x

Move the variable to the left side

4 x - 8 - 24 x < 0

Subtract the terms

More Steps

- 20 x - 8 < 0

Move the constant to the right side

- 20 x < 0 + 8

Removing 0 doesn't change the value,so remove it from the expression

- 20 x < 8

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

20 x > - 8

Divide both sides

\frac{20 x}{20} > \frac{- 8}{20}

Divide the numbers

x > \frac{- 8}{20}

Solution

More Steps

x > - \frac{2}{5}

Alternative Form

x \in (- \frac{2}{5}, + \infty)

Solve the inequality