Solve h-9≤46h - ScanMath

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Type your math problem... h-9≤46h

Question

Solve the inequality

h \geq - \frac{1}{5}

Alternative Form

h \in [- \frac{1}{5}, + \infty)

Evaluate

h - 9 \leq 46 h

Move the variable to the left side

h - 9 - 46 h \leq 0

Subtract the terms

More Steps

Evaluate

h - 46 h

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

(1 - 46) h

Subtract the numbers

- 45 h

- 45 h - 9 \leq 0

Move the constant to the right side

- 45 h \leq 0 + 9

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

- 45 h \leq 9

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

45 h \geq - 9

Divide both sides

\frac{45 h}{45} \geq \frac{- 9}{45}

Divide the numbers

h \geq \frac{- 9}{45}

Solution

More Steps

Evaluate

\frac{- 9}{45}

Cancel out the common factor 9

\frac{- 1}{5}

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

- \frac{1}{5}

h \geq - \frac{1}{5}

Alternative Form

h \in [- \frac{1}{5}, + \infty)

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