Solve m/2+1geq2m+4

$$\frac { m } { 2 } + 1 \geq 2 m + 4$$

Solve for m

$$m\leq -2$$

Solution Steps

Multiply both sides of the equation by 2. Since 2 is positive, the inequality direction remains the same.

$$m+2\geq 4m+8$$

Subtract 4m from both sides.

$$m+2-4m\geq 8$$

Combine m and -4m to get -3m.

$$-3m+2\geq 8$$

Subtract 2 from both sides.

$$-3m\geq 8-2$$

Subtract 2 from 8 to get 6.

$$-3m\geq 6$$

Divide both sides by -3. Since -3 is negative, the inequality direction is changed.

$$m\leq \frac{6}{-3}$$

Divide 6 by -3 to get -2.

$$m\leq -2$$