How to solve -4x+9 < x-1

Q: How to solve -4x+9 < x-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 -4x+9 < x-1 | Equatix

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Question

$$-4x+9 < x-1$$

Solve for x

$x>2$

Solution Steps

Subtract $x$ from both sides.

$$-4x+9-x<-1$$

Combine $-4x$ and $-x$ to get $-5x$.

$$-5x+9<-1$$

Subtract $9$ from both sides.

$$-5x<-1-9$$

Subtract $9$ from $-1$ to get $-10$.

$$-5x<-10$$

Divide both sides by $-5$. Since $-5$ is negative, the inequality direction is changed.

$$x>\frac{-10}{-5}$$

Divide $-10$ by $-5$ to get $2$.

$$x>2$$

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Solve for x

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