Algebra Examples

$\frac{w + 5}{4} \leq - 2$

Step 1

Multiply both sides by $4$ .

$\frac{w + 5}{4} \cdot 4 \leq - 2 \cdot 4$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Cancel the common factor of $4$ .

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Step 2.1.1.1

Cancel the common factor.

$\frac{w + 5}{4} \cdot 4 \leq - 2 \cdot 4$

Step 2.1.1.2

Rewrite the expression.

$w + 5 \leq - 2 \cdot 4$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $- 2$ by $4$ .

$w + 5 \leq - 8$

Step 3

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

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Step 3.1

Subtract $5$ from both sides of the inequality.

$w \leq - 8 - 5$

Step 3.2

Subtract $5$ from $- 8$ .

$w \leq - 13$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$w \leq - 13$

Interval Notation:

$(- \infty, - 13]$