Solve the Inequality for x x/5-3<5

$\frac{x}{5} - 3 < 5$

Step 1

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

Add $3$ to both sides of the inequality.

$\frac{x}{5} < 5 + 3$

Add $5$ and $3$ .

$\frac{x}{5} < 8$

Step 2

Multiply both sides by $5$ .

$\frac{x}{5} \cdot 5 < 8 \cdot 5$

Step 3

Simplify.

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{x}{5} \cdot 5 < 8 \cdot 5$

Rewrite the expression.

$x < 8 \cdot 5$

Simplify the right side.

Multiply $8$ by $5$ .

$x < 40$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x < 40$

Interval Notation:

$(- \infty, 40)$