Solve 4(x+1)geq5x-6

$$4 ( x + 1 ) \geq 5 x - 6$$

Solve for x

$$x\leq 10$$

Solution Steps

Use the distributive property to multiply 4 by x+1.

$$4x+4\geq 5x-6$$

Subtract 5x from both sides.

$$4x+4-5x\geq -6$$

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

$$-x+4\geq -6$$

Subtract 4 from both sides.

$$-x\geq -6-4$$

Subtract 4 from -6 to get -10.

$$-x\geq -10$$

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

$$x\leq \frac{-10}{-1}$$

Fraction \frac{-10}{-1} can be simplified to 10 by removing the negative sign from both the numerator and the denominator.

$$x\leq 10$$