Solve the Inequality for r 9-4r>5

$9 - 4 r > 5$

Step 1

Move all terms not containing $r$ to the right side of the inequality.

Subtract $9$ from both sides of the inequality.

$- 4 r > 5 - 9$

Subtract $9$ from $5$ .

$- 4 r > - 4$

Step 2

Divide each term in $- 4 r > - 4$ by $- 4$ and simplify.

Divide each term in $- 4 r > - 4$ by $- 4$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 4 r}{- 4} < \frac{- 4}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 r}{- 4} < \frac{- 4}{- 4}$

Divide $r$ by $1$ .

$r < \frac{- 4}{- 4}$

Simplify the right side.

Divide $- 4$ by $- 4$ .

$r < 1$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$r < 1$

Interval Notation:

$(- \infty, 1)$

Solve the Inequality for r 9-4r>5

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