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

Question

838 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-02T04:58:19

#x≥49#

#(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.