\(\frac{1}{2}\)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
