Solve 3x-4(x-5)geq11

$$3 x - 4 ( x - 5 ) \geq 11$$

Solve for x

$$x\leq 9$$

Solution Steps

Use the distributive property to multiply -4 by x-5.

$$3x-4x+20\geq 11$$

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

$$-x+20\geq 11$$

Subtract 20 from both sides.

$$-x\geq 11-20$$

Subtract 20 from 11 to get -9.

$$-x\geq -9$$

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

$$x\leq \frac{-9}{-1}$$

Fraction \frac{-9}{-1} can be simplified to 9 by removing the negative sign from both the numerator and the denominator.

$$x\leq 9$$