Solve the Inequality for z z/4+22<=38

$\frac{z}{4} + 22 \leq 38$

Step 1

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

Subtract $22$ from both sides of the inequality.

$\frac{z}{4} \leq 38 - 22$

Subtract $22$ from $38$ .

$\frac{z}{4} \leq 16$

Step 2

Multiply both sides by $4$ .

$\frac{z}{4} \cdot 4 \leq 16 \cdot 4$

Step 3

Simplify.

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{z}{4} \cdot 4 \leq 16 \cdot 4$

Rewrite the expression.

$z \leq 16 \cdot 4$

Simplify the right side.

Multiply $16$ by $4$ .

$z \leq 64$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$z \leq 64$

Interval Notation:

$(- \infty, 64]$