Solve the Inequality for w (w+5)/4<=-2

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

Step 1

Multiply both sides by $4$ .

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

Step 2

Simplify.

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

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

Rewrite the expression.

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

Simplify the right side.

Multiply $- 2$ by $4$ .

$w + 5 \leq - 8$

Step 3

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

Subtract $5$ from both sides of the inequality.

$w \leq - 8 - 5$

Subtract $5$ from $- 8$ .

$w \leq - 13$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$w \leq - 13$

Interval Notation:

$(- \infty, - 13]$