How to solve (8m)/7 > 2/5

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve (8m)/7 > 2/5 | Equatix

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$$\frac{8m}{7}>\frac{2}{5}$$

$m>\frac{7}{20}$

Multiply both sides by $7$. Since $7$ is positive, the inequality direction remains the same.

$$8m>\frac{2}{5}\times 7$$

Express $\frac{2}{5}\times 7$ as a single fraction.

$$8m>\frac{2\times 7}{5}$$

Multiply $2$ and $7$ to get $14$.

$$8m>\frac{14}{5}$$

Divide both sides by $8$. Since $8$ is positive, the inequality direction remains the same.

$$m>\frac{\frac{14}{5}}{8}$$

Express $\frac{\frac{14}{5}}{8}$ as a single fraction.

$$m>\frac{14}{5\times 8}$$

Multiply $5$ and $8$ to get $40$.

$$m>\frac{14}{40}$$

Reduce the fraction $\frac{14}{40}$ to lowest terms by extracting and canceling out $2$.

$$m>\frac{7}{20}$$