Solve 82.08geq1.08x+5.42

$$82.08 \geq 1.08x+5.42$$

Solve for x

$$x\leq \frac{3833}{54}$$

Solution Steps

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

$$1.08x+5.42\leq 82.08$$

Subtract 5.42 from both sides.

$$1.08x\leq 82.08-5.42$$

Subtract 5.42 from 82.08 to get 76.66.

$$1.08x\leq 76.66$$

Divide both sides by 1.08. Since 1.08 is positive, the inequality direction remains the same.

$$x\leq \frac{76.66}{1.08}$$

Expand \frac{76.66}{1.08} by multiplying both numerator and the denominator by 100.

$$x\leq \frac{7666}{108}$$

Reduce the fraction \frac{7666}{108} to lowest terms by extracting and canceling out 2.

$$x\leq \frac{3833}{54}$$