Question

What is the answer to 1/2a-7<2/3a-9

Answer 1

$\frac{1}{2}$a - 7 < $\frac{2}{3}$a - 9   Give the fractions a                              common denominator. (2 and 3 both go into 6)
$\frac{3}{6}$a - 7 < $\frac{4}{6}$a - 9   Subtract $\frac{3}{6}$a from both sides
-7 <  $\frac{1}{6}$a - 9   Add 9 to both sides
2 < $\frac{1}{6}$a   Multiply both sides by 6 to cancel out the fraction
12 < a   Flip the inequality to make it easier to read
a > 12