Solve the Inequality for m 8m+95<-87m+5

$8 m + 95 < - 87 m + 5$

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

Add $87 m$ to both sides of the inequality.

$8 m + 95 + 87 m < 5$

Add $8 m$ and $87 m$ .

$95 m + 95 < 5$

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

Subtract $95$ from both sides of the inequality.

$95 m < 5 - 95$

Subtract $95$ from $5$ .

$95 m < - 90$

Divide each term in $95 m < - 90$ by $95$ and simplify.

Divide each term in $95 m < - 90$ by $95$ .

$\frac{95 m}{95} < \frac{- 90}{95}$

Simplify the left side.

Cancel the common factor of $95$ .

Cancel the common factor.

$\frac{95 m}{95} < \frac{- 90}{95}$

Divide $m$ by $1$ .

$m < \frac{- 90}{95}$

Simplify the right side.

Cancel the common factor of $- 90$ and $95$ .

Factor $5$ out of $- 90$ .

$m < \frac{5 (- 18)}{95}$

Cancel the common factors.

Factor $5$ out of $95$ .

$m < \frac{5 \cdot - 18}{5 \cdot 19}$

Cancel the common factor.

$m < \frac{5 \cdot - 18}{5 \cdot 19}$

Rewrite the expression.

$m < \frac{- 18}{19}$

Move the negative in front of the fraction.

$m < - \frac{18}{19}$

The result can be shown in multiple forms.

Inequality Form:

$m < - \frac{18}{19}$

Interval Notation:

$(- \infty, - \frac{18}{19})$