Solve 7(9-x)geq42

$$7 ( 9 - x ) \geq 42$$

Solve for x

$$x\leq 3$$

Solution Steps

Divide both sides by 7. Since 7 is positive, the inequality direction remains the same.

$$9-x\geq \frac{42}{7}$$

Divide 42 by 7 to get 6.

$$9-x\geq 6$$

Subtract 9 from both sides.

$$-x\geq 6-9$$

Subtract 9 from 6 to get -3.

$$-x\geq -3$$

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

$$x\leq \frac{-3}{-1}$$

Fraction \frac{-3}{-1} can be simplified to 3 by removing the negative sign from both the numerator and the denominator.

$$x\leq 3$$