Solve the Inequality for a a/-8+15>23

$\frac{a}{- 8} + 15 > 23$

Move the negative in front of the fraction.

$- \frac{a}{8} + 15 > 23$

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

Subtract $15$ from both sides of the inequality.

$- \frac{a}{8} > 23 - 15$

Subtract $15$ from $23$ .

$- \frac{a}{8} > 8$

Divide each term in $- \frac{a}{8} > 8$ by $- 1$ and simplify.

Divide each term in $- \frac{a}{8} > 8$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- \frac{a}{8}}{- 1} < \frac{8}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{\frac{a}{8}}{1} < \frac{8}{- 1}$

Divide $\frac{a}{8}$ by $1$ .

$\frac{a}{8} < \frac{8}{- 1}$

Simplify the right side.

Divide $8$ by $- 1$ .

$\frac{a}{8} < - 8$

Multiply both sides by $8$ .

$\frac{a}{8} \cdot 8 < - 8 \cdot 8$

Simplify.

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{a}{8} \cdot 8 < - 8 \cdot 8$

Rewrite the expression.

$a < - 8 \cdot 8$

Simplify the right side.

Multiply $- 8$ by $8$ .

$a < - 64$

The result can be shown in multiple forms.

Inequality Form:

$a < - 64$

Interval Notation:

$(- \infty, - 64)$

Solve the Inequality for a a/-8+15>23

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