Solve for S 5+2.75*S<=21

$5 + 2.75 \cdot S \leq 21$

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

Subtract $5$ from both sides of the inequality.

$2.75 S \leq 21 - 5$

Subtract $5$ from $21$ .

$2.75 S \leq 16$

Divide each term in $2.75 S \leq 16$ by $2.75$ and simplify.

Divide each term in $2.75 S \leq 16$ by $2.75$ .

$\frac{2.75 S}{2.75} \leq \frac{16}{2.75}$

Simplify the left side.

Cancel the common factor of $2.75$ .

Cancel the common factor.

$\frac{2.75 S}{2.75} \leq \frac{16}{2.75}$

Divide $S$ by $1$ .

$S \leq \frac{16}{2.75}$

Simplify the right side.

Divide $16$ by $2.75$ .

$S \leq 5.\overline{81}$

The result can be shown in multiple forms.

Inequality Form:

$S \leq 5.\overline{81}$

Interval Notation:

$(- \infty, 5.\overline{81}]$