Algebra Examples

$- 18 \leq - 3 p$

Step 1

Rewrite so $p$ is on the left side of the inequality.

$- 3 p \geq - 18$

Step 2

Divide each term in $- 3 p \geq - 18$ by $- 3$ and simplify.

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Step 2.1

Divide each term in $- 3 p \geq - 18$ by $- 3$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 3 p}{- 3} \leq \frac{- 18}{- 3}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 3$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 3 p}{- 3} \leq \frac{- 18}{- 3}$

Step 2.2.1.2

Divide $p$ by $1$ .

$p \leq \frac{- 18}{- 3}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $- 18$ by $- 3$ .

$p \leq 6$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$p \leq 6$

Interval Notation:

$(- \infty, 6]$