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{3}{29}

Alternative Form

x \in (- \infty, - \frac{3}{29})

Evaluate

- 9 - 6 x > 9 x \times 9

Multiply the terms

- 9 - 6 x > 81 x

Move the variable to the left side

- 9 - 6 x - 81 x > 0

Subtract the terms

More Steps

Evaluate

- 6 x - 81 x

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

(- 6 - 81) x

Subtract the numbers

- 87 x

- 9 - 87 x > 0

Move the constant to the right side

- 87 x > 0 + 9

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

- 87 x > 9

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

87 x < - 9

Divide both sides

\frac{87 x}{87} < \frac{- 9}{87}

Divide the numbers

x < \frac{- 9}{87}

Solution

More Steps

Evaluate

\frac{- 9}{87}

Cancel out the common factor 3

\frac{- 3}{29}

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

- \frac{3}{29}

x < - \frac{3}{29}

Alternative Form

x \in (- \infty, - \frac{3}{29})

Show Solution

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