Solve -9-6x>9x+9 - ScanMath

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Example problems

Type your math problem... -9-6x>9x+9

Question

Solve the inequality

x < - \frac{6}{5}

Alternative Form

x \in (- \infty, - \frac{6}{5})

Evaluate

- 9 - 6 x > 9 x + 9

Move the expression to the left side

- 9 - 6 x - 9 x > 9

Move the expression to the right side

- 6 x - 9 x > 9 + 9

Add and subtract

More Steps

Evaluate

- 6 x - 9 x

Collect like terms by calculating the sum or difference of their coefficients

(- 6 - 9) x

Subtract the numbers

- 15 x

- 15 x > 9 + 9

Add and subtract

- 15 x > 18

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

15 x < - 18

Divide both sides

\frac{15 x}{15} < \frac{- 18}{15}

Divide the numbers

x < \frac{- 18}{15}

Solution

More Steps

Evaluate

\frac{- 18}{15}

Cancel out the common factor 3

\frac{- 6}{5}

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

- \frac{6}{5}

x < - \frac{6}{5}

Alternative Form

x \in (- \infty, - \frac{6}{5})

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