Solve the Inequality for S 3.25+5.50S<=30

$3.25 + 5.5 S \leq 30$

Step 1

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

Subtract $3.25$ from both sides of the inequality.

$5.5 S \leq 30 - 3.25$

Subtract $3.25$ from $30$ .

$5.5 S \leq 26.75$

Step 2

Divide each term in $5.5 S \leq 26.75$ by $5.5$ and simplify.

Divide each term in $5.5 S \leq 26.75$ by $5.5$ .

$\frac{5.5 S}{5.5} \leq \frac{26.75}{5.5}$

Simplify the left side.

Cancel the common factor of $5.5$ .

Cancel the common factor.

$\frac{5.5 S}{5.5} \leq \frac{26.75}{5.5}$

Divide $S$ by $1$ .

$S \leq \frac{26.75}{5.5}$

Simplify the right side.

Divide $26.75$ by $5.5$ .

$S \leq 4.8\overline{63}$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$S \leq 4.8\overline{63}$

Interval Notation:

$(- \infty, 4.8\overline{63}]$