Question

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

Answer 1

`(1)/(2)`a - 7 <
`(2)/(3)`a - 9 Give the fractions a common denominator. (2 and 3 both go into 6)

`(3)/(6)`a - 7 <
`(4)/(6)`a - 9 Subtract
`(3)/(6)`a from both sides
-7 <
`(1)/(6)`a - 9 Add 9 to both sides
2 <
`(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