Algebra Examples

$- 2 \geq 4 p + 6 + 4$

Step 1

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

$4 p + 6 + 4 \leq - 2$

Step 2

Add $6$ and $4$ .

$4 p + 10 \leq - 2$

Step 3

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

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Step 3.1

Subtract $10$ from both sides of the inequality.

$4 p \leq - 2 - 10$

Step 3.2

Subtract $10$ from $- 2$ .

$4 p \leq - 12$

Step 4

Divide each term in $4 p \leq - 12$ by $4$ and simplify.

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Step 4.1

Divide each term in $4 p \leq - 12$ by $4$ .

$\frac{4 p}{4} \leq \frac{- 12}{4}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $4$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{4 p}{4} \leq \frac{- 12}{4}$

Step 4.2.1.2

Divide $p$ by $1$ .

$p \leq \frac{- 12}{4}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $- 12$ by $4$ .

$p \leq - 3$

Step 5

The result can be shown in multiple forms.

Inequality Form:

$p \leq - 3$

Interval Notation:

$(- \infty, - 3]$