How to solve 3x+5 > 4x-1

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 3x+5 > 4x-1 | Equatix

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$$3x+5 > 4x-1$$

$x<6$

Subtract $4x$ from both sides.

$$3x+5-4x>-1$$

Combine $3x$ and $-4x$ to get $-x$.

$$-x+5>-1$$

Subtract $5$ from both sides.

$$-x>-1-5$$

Subtract $5$ from $-1$ to get $-6$.

$$-x>-6$$

Divide both sides by $-1$. Since $-1$ is negative, the inequality direction is changed.

$$x<\frac{-6}{-1}$$

Fraction $\frac{-6}{-1}$ can be simplified to $6$ by removing the negative sign from both the numerator and the denominator.

$$x<6$$