Algebra Examples

$7 - \frac{s}{2} > 3$

Step 1

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

Tap for more steps...

Subtract $7$ from both sides of the inequality.

$- \frac{s}{2} > 3 - 7$

Subtract $7$ from $3$ .

$- \frac{s}{2} > - 4$

Step 2

Divide each term in $- \frac{s}{2} > - 4$ by $- 1$ and simplify.

Tap for more steps...

Divide each term in $- \frac{s}{2} > - 4$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- \frac{s}{2}}{- 1} < \frac{- 4}{- 1}$

Simplify the left side.

Tap for more steps...

Dividing two negative values results in a positive value.

$\frac{\frac{s}{2}}{1} < \frac{- 4}{- 1}$

Divide $\frac{s}{2}$ by $1$ .

$\frac{s}{2} < \frac{- 4}{- 1}$

Simplify the right side.

Tap for more steps...

Divide $- 4$ by $- 1$ .

$\frac{s}{2} < 4$

Step 3

Multiply both sides by $2$ .

$\frac{s}{2} \cdot 2 < 4 \cdot 2$

Step 4

Simplify.

Tap for more steps...

Simplify the left side.

Tap for more steps...

Cancel the common factor of $2$ .

Tap for more steps...

Cancel the common factor.

$\frac{s}{2} \cdot 2 < 4 \cdot 2$

Rewrite the expression.

$s < 4 \cdot 2$

Simplify the right side.

Tap for more steps...

Multiply $4$ by $2$ .

$s < 8$

Step 5

The result can be shown in multiple forms.

Inequality Form:

$s < 8$

Interval Notation:

$(- \infty, 8)$