Solve 8(q-10.95)>12

$$8 ( q - 10.95 ) > 12$$

Solve for q

$$q>\frac{249}{20}$$

Solution Steps

Divide both sides by 8. Since 8 is positive, the inequality direction remains the same.

$$q-10.95>\frac{12}{8}$$

Reduce the fraction \frac{12}{8} to lowest terms by extracting and canceling out 4.

$$q-10.95>\frac{3}{2}$$

Add 10.95 to both sides.

$$q>\frac{3}{2}+10.95$$

Convert decimal number 10.95 to fraction \frac{1095}{100}. Reduce the fraction \frac{1095}{100} to lowest terms by extracting and canceling out 5.

$$q>\frac{3}{2}+\frac{219}{20}$$

Least common multiple of 2 and 20 is 20. Convert \frac{3}{2} and \frac{219}{20} to fractions with denominator 20.

$$q>\frac{30}{20}+\frac{219}{20}$$

Since \frac{30}{20} and \frac{219}{20} have the same denominator, add them by adding their numerators.

$$q>\frac{30+219}{20}$$

Add 30 and 219 to get 249.

$$q>\frac{249}{20}$$