Solve the Inequality for x (x-4)/3<=5

$\frac{x - 4}{3} \leq 5$

Step 1

Multiply both sides by $3$ .

$\frac{x - 4}{3} \cdot 3 \leq 5 \cdot 3$

Step 2

Simplify.

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{x - 4}{3} \cdot 3 \leq 5 \cdot 3$

Rewrite the expression.

$x - 4 \leq 5 \cdot 3$

Simplify the right side.

Multiply $5$ by $3$ .

$x - 4 \leq 15$

Step 3

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

Add $4$ to both sides of the inequality.

$x \leq 15 + 4$

Add $15$ and $4$ .

$x \leq 19$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x \leq 19$

Interval Notation:

$(- \infty, 19]$