Solve 13(8-x)geq74-11x

$$13 ( 8 - x ) \geq 74 - 11 x$$

Solve for x

$$x\leq 15$$

Solution Steps

Use the distributive property to multiply 13 by 8-x.

$$104-13x\geq 74-11x$$

Add 11x to both sides.

$$104-13x+11x\geq 74$$

Combine -13x and 11x to get -2x.

$$104-2x\geq 74$$

Subtract 104 from both sides.

$$-2x\geq 74-104$$

Subtract 104 from 74 to get -30.

$$-2x\geq -30$$

Divide both sides by -2. Since -2 is negative, the inequality direction is changed.

$$x\leq \frac{-30}{-2}$$

Divide -30 by -2 to get 15.

$$x\leq 15$$