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

Evaluate

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

Remove the parentheses

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

Simplify

4 a - 8 < 4 \times 6 a

Multiply the terms

4 a - 8 < 24 a

Move the variable to the left side

4 a - 8 - 24 a < 0

Subtract the terms

More Steps

- 20 a - 8 < 0

Move the constant to the right side

- 20 a < 0 + 8

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

- 20 a < 8

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

20 a > - 8

Divide both sides

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

Divide the numbers

a > \frac{- 8}{20}

Solution

More Steps

a > - \frac{2}{5}

Alternative Form

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

Solve the inequality