Solve 6-2m+1-2m/4leq0

$$6 - 2 m + \frac { 1 - 2 m } { 4 } \leq 0$$

Solve for m

$$m\geq \frac{5}{2}$$

Solution Steps

Multiply both sides of the equation by 4. Since 4 is positive, the inequality direction remains the same.

$$24-8m+1-2m\leq 0$$

Add 24 and 1 to get 25.

$$25-8m-2m\leq 0$$

Combine -8m and -2m to get -10m.

$$25-10m\leq 0$$

Subtract 25 from both sides. Anything subtracted from zero gives its negation.

$$-10m\leq -25$$

Divide both sides by -10. Since -10 is negative, the inequality direction is changed.

$$m\geq \frac{-25}{-10}$$

Reduce the fraction \frac{-25}{-10} to lowest terms by extracting and canceling out -5.

$$m\geq \frac{5}{2}$$