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7x 24>112x

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Type your math problem... 7x-24>112x

Question

Solve the inequality

x < - \frac{8}{35}

Alternative Form

x \in (- \infty, - \frac{8}{35})

Evaluate

7 x - 24 > 112 x

Move the variable to the left side

7 x - 24 - 112 x > 0

Subtract the terms

More Steps

Evaluate

7 x - 112 x

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

(7 - 112) x

Subtract the numbers

- 105 x

- 105 x - 24 > 0

Move the constant to the right side

- 105 x > 0 + 24

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

- 105 x > 24

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

105 x < - 24

Divide both sides

\frac{105 x}{105} < \frac{- 24}{105}

Divide the numbers

x < \frac{- 24}{105}

Solution

More Steps

Evaluate

\frac{- 24}{105}

Cancel out the common factor 3

\frac{- 8}{35}

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

- \frac{8}{35}

x < - \frac{8}{35}

Alternative Form

x \in (- \infty, - \frac{8}{35})

Show Solution

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