Solve the Inequality for m 41>6m-7

$41 > 6 m - 7$

Rewrite so $m$ is on the left side of the inequality.

$6 m - 7 < 41$

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

Add $7$ to both sides of the inequality.

$6 m < 41 + 7$

Add $41$ and $7$ .

$6 m < 48$

Divide each term in $6 m < 48$ by $6$ and simplify.

Divide each term in $6 m < 48$ by $6$ .

$\frac{6 m}{6} < \frac{48}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 m}{6} < \frac{48}{6}$

Divide $m$ by $1$ .

$m < \frac{48}{6}$

Simplify the right side.

Divide $48$ by $6$ .

$m < 8$

The result can be shown in multiple forms.

Inequality Form:

$m < 8$

Interval Notation:

$(- \infty, 8)$