Pre-Algebra Examples

$- 4 (3 + r) > - 32$

Step 1

Divide each term in $- 4 (3 + r) > - 32$ by $- 4$ and simplify.

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Step 1.1

Divide each term in $- 4 (3 + r) > - 32$ by $- 4$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 4 (3 + r)}{- 4} < \frac{- 32}{- 4}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $- 4$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{- 4 (3 + r)}{- 4} < \frac{- 32}{- 4}$

Step 1.2.1.2

Divide $3 + r$ by $1$ .

$3 + r < \frac{- 32}{- 4}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $- 32$ by $- 4$ .

$3 + r < 8$

Step 2

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

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Step 2.1

Subtract $3$ from both sides of the inequality.

$r < 8 - 3$

Step 2.2

Subtract $3$ from $8$ .

$r < 5$

Step 3