Solve 26.75+10.50xleq38.25

$$26.75+10.50x \leq 38.25$$

Solve for x

$$x\leq \frac{23}{21}$$

Solution Steps

Subtract 26.75 from both sides.

$$10.5x\leq 38.25-26.75$$

Subtract 26.75 from 38.25 to get 11.5.

$$10.5x\leq 11.5$$

Divide both sides by 10.5. Since 10.5 is positive, the inequality direction remains the same.

$$x\leq \frac{11.5}{10.5}$$

Expand \frac{11.5}{10.5} by multiplying both numerator and the denominator by 10.

$$x\leq \frac{115}{105}$$

Reduce the fraction \frac{115}{105} to lowest terms by extracting and canceling out 5.

$$x\leq \frac{23}{21}$$