How to solve 5x/4+3x/8 > 39/8

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 5x/4+3x/8 > 39/8 | Equatix

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$$5x/4+3x/8 > 39/8$$

$x>3$

Multiply both sides of the equation by $8$, the least common multiple of $4,8$. Since $8$ is positive, the inequality direction remains the same.

$$2\times 5x+3x>39$$

Multiply $2$ and $5$ to get $10$.

$$10x+3x>39$$

Combine $10x$ and $3x$ to get $13x$.

$$13x>39$$

Divide both sides by $13$. Since $13$ is positive, the inequality direction remains the same.

$$x>\frac{39}{13}$$

Divide $39$ by $13$ to get $3$.

$$x>3$$