Solve for S 2.75+11.50S<=55

$2.75 + 11.5 S \leq 55$

Step 1

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

Subtract $2.75$ from both sides of the inequality.

$11.5 S \leq 55 - 2.75$

Subtract $2.75$ from $55$ .

$11.5 S \leq 52.25$

Step 2

Divide each term in $11.5 S \leq 52.25$ by $11.5$ and simplify.

Divide each term in $11.5 S \leq 52.25$ by $11.5$ .

$\frac{11.5 S}{11.5} \leq \frac{52.25}{11.5}$

Simplify the left side.

Cancel the common factor of $11.5$ .

Cancel the common factor.

$\frac{11.5 S}{11.5} \leq \frac{52.25}{11.5}$

Divide $S$ by $1$ .

$S \leq \frac{52.25}{11.5}$

Simplify the right side.

Divide $52.25$ by $11.5$ .

$S \leq 4.54347826$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$S \leq 4.54347826$

Interval Notation:

$(- \infty, 4.54347826]$