Question

Solving Equation and inequalities a-2/3 > a+4

answers are
a>-7
a<-7
a>5/2
a<-5
which of the above is correct?

Answer 1

a<-7

Explanation:

`(a-2)/(3)` > a+4

To remove the denominator 3, we multiply both sides by 3

a - 2 > 3(a+4)

distribute 3 inside the parenthesis

a- 2 > 3a +12

subtract 3a on both sides

-2a - 2 > 12

add 2 on both sides

-2a > 14

Divide by -2 on both sides

Flip the inequality symbol we we divide by negative number

a < -7