Solve the Inequality for s 10s+7>3s-8

$10 s + 7 > 3 s - 8$

Move all terms containing $s$ to the left side of the inequality.

Subtract $3 s$ from both sides of the inequality.

$10 s + 7 - 3 s > - 8$

Subtract $3 s$ from $10 s$ .

$7 s + 7 > - 8$

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

Subtract $7$ from both sides of the inequality.

$7 s > - 8 - 7$

Subtract $7$ from $- 8$ .

$7 s > - 15$

Divide each term in $7 s > - 15$ by $7$ and simplify.

Divide each term in $7 s > - 15$ by $7$ .

$\frac{7 s}{7} > \frac{- 15}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 s}{7} > \frac{- 15}{7}$

Divide $s$ by $1$ .

$s > \frac{- 15}{7}$

Simplify the right side.

Move the negative in front of the fraction.

$s > - \frac{15}{7}$

The result can be shown in multiple forms.

Inequality Form:

$s > - \frac{15}{7}$

Interval Notation:

$(- \frac{15}{7}, \infty)$