How to solve (7m)/4 > 3/2

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 (7m)/4 > 3/2 | Equatix

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$$\frac{7m}{4}>\frac{3}{2}$$

$m>\frac{6}{7}$

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

$$7m>\frac{3}{2}\times 4$$

Express $\frac{3}{2}\times 4$ as a single fraction.

$$7m>\frac{3\times 4}{2}$$

Multiply $3$ and $4$ to get $12$.

$$7m>\frac{12}{2}$$

Divide $12$ by $2$ to get $6$.

$$7m>6$$

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

$$m>\frac{6}{7}$$