Solve the Inequality for y 2>=y/5-1

$2 \geq \frac{y}{5} - 1$

Step 1

Rewrite so $y$ is on the left side of the inequality.

$\frac{y}{5} - 1 \leq 2$

Step 2

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

Add $1$ to both sides of the inequality.

$\frac{y}{5} \leq 2 + 1$

Add $2$ and $1$ .

$\frac{y}{5} \leq 3$

Step 3

Multiply both sides by $5$ .

$\frac{y}{5} \cdot 5 \leq 3 \cdot 5$

Step 4

Simplify.

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{y}{5} \cdot 5 \leq 3 \cdot 5$

Rewrite the expression.

$y \leq 3 \cdot 5$

Simplify the right side.

Multiply $3$ by $5$ .

$y \leq 15$

Step 5

The result can be shown in multiple forms.

Inequality Form:

$y \leq 15$

Interval Notation:

$(- \infty, 15]$