How do you solve \frac { x - 5} { 2} \geq \frac { x } { 3} + 4?

1 Answer
Mar 2, 2018

x≥49

Explanation:

(x−5)/2≥x/3+4

Multiply both sides by 3

(3(x−5))/2≥x+12

Multiply both sides by 2

3(x−5)≥2x+24

Distribute

3x−15≥2x+24

Subtract 2x from both sides

x−15≥+24

Add 15 to both sides

x≥49

There are other ways to solve this, and just remember to switch the direction of the sign if multiplying both sides by a negative.