Solve 8(q-1095)>12

$$8 ( q - 1095 ) > 12$$

Solve for q

$$q>\frac{2193}{2}$$

Solution Steps

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

$$q-1095>\frac{12}{8}$$

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

$$q-1095>\frac{3}{2}$$

Add 1095 to both sides.

$$q>\frac{3}{2}+1095$$

Convert 1095 to fraction \frac{2190}{2}.

$$q>\frac{3}{2}+\frac{2190}{2}$$

Since \frac{3}{2} and \frac{2190}{2} have the same denominator, add them by adding their numerators.

$$q>\frac{3+2190}{2}$$

Add 3 and 2190 to get 2193.

$$q>\frac{2193}{2}$$