Can someone please check if this is done correctly? 1/3x – (x+1/2) – 3x/5 + x/2 * (-5) >3x/2?
1/3x – (x+1/2) – 3x/5 + x/2 * (-5) >3x/2
x/3-x/1-1/2-3x/5-5x/2+3x/2>0
x/3-x/1-3x/5-5x/2+3x/2>1/2
(10x-30x-18x-75+45) /(30) >1/2
-68x/30 >1/2
x=-15/68
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It is nice to see someone show their working and not just ask for an answer.
Error with the sign of the 3x/2 brought across so the +45 should be -45.
This gives -158x/30 > 1/2 ----> -158x > 15 ----> x < -15/158
Notice the sign in that final answer. It can't be equals because you didn't start with equals. Also dividing by a negative number reverses the direction of the inequality sign.