Solve the Inequality for m (m-2)/3<-2

$\frac{m - 2}{3} < - 2$

Step 1

Multiply both sides by $3$ .

$\frac{m - 2}{3} \cdot 3 < - 2 \cdot 3$

Step 2

Simplify.

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{m - 2}{3} \cdot 3 < - 2 \cdot 3$

Rewrite the expression.

$m - 2 < - 2 \cdot 3$

Simplify the right side.

Multiply $- 2$ by $3$ .

$m - 2 < - 6$

Step 3

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

Add $2$ to both sides of the inequality.

$m < - 6 + 2$

Add $- 6$ and $2$ .

$m < - 4$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$m < - 4$

Interval Notation:

$(- \infty, - 4)$