Solve for m 8m-7<4m+5

$8 m - 7 < 4 m + 5$

Step 1

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

Subtract $4 m$ from both sides of the inequality.

$8 m - 7 - 4 m < 5$

Subtract $4 m$ from $8 m$ .

$4 m - 7 < 5$

Step 2

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

Add $7$ to both sides of the inequality.

$4 m < 5 + 7$

Add $5$ and $7$ .

$4 m < 12$

Step 3

Divide each term in $4 m < 12$ by $4$ and simplify.

Divide each term in $4 m < 12$ by $4$ .

$\frac{4 m}{4} < \frac{12}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 m}{4} < \frac{12}{4}$

Divide $m$ by $1$ .

$m < \frac{12}{4}$

Simplify the right side.

Divide $12$ by $4$ .

$m < 3$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$m < 3$

Interval Notation:

$(- \infty, 3)$