Solve for m 3-m<4(m-3)

$3 - m < 4 (m - 3)$

Step 1

Simplify $4 (m - 3)$ .

Rewrite.

$3 - m < 0 + 0 + 4 (m - 3)$

Simplify by adding zeros.

$3 - m < 4 (m - 3)$

Apply the distributive property.

$3 - m < 4 m + 4 \cdot - 3$

Multiply $4$ by $- 3$ .

$3 - m < 4 m - 12$

Step 2

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

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

$3 - m - 4 m < - 12$

Subtract $4 m$ from $- m$ .

$3 - 5 m < - 12$

Step 3

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

Subtract $3$ from both sides of the inequality.

$- 5 m < - 12 - 3$

Subtract $3$ from $- 12$ .

$- 5 m < - 15$

Step 4

Divide each term in $- 5 m < - 15$ by $- 5$ and simplify.

Divide each term in $- 5 m < - 15$ by $- 5$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 5 m}{- 5} > \frac{- 15}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 m}{- 5} > \frac{- 15}{- 5}$

Divide $m$ by $1$ .

$m > \frac{- 15}{- 5}$

Simplify the right side.

Divide $- 15$ by $- 5$ .

$m > 3$

Step 5

The result can be shown in multiple forms.

Inequality Form:

$m > 3$

Interval Notation:

$(3, \infty)$

Solve for m 3-m<4(m-3)

Related Questions

Support LCMGCF.com by disabling your adblocker.