Solve 40x+90(50-x)leq2950

$$40 x + 90 ( 50 - x ) \leq 2950$$

Solve for x

$$x\geq 31$$

Solution Steps

Use the distributive property to multiply 90 by 50-x.

$$40x+4500-90x\leq 2950$$

Combine 40x and -90x to get -50x.

$$-50x+4500\leq 2950$$

Subtract 4500 from both sides.

$$-50x\leq 2950-4500$$

Subtract 4500 from 2950 to get -1550.

$$-50x\leq -1550$$

Divide both sides by -50. Since -50 is negative, the inequality direction is changed.

$$x\geq \frac{-1550}{-50}$$

Divide -1550 by -50 to get 31.

$$x\geq 31$$