SOLUTION: I am trying to help my son but am having difficulty being that I have been out of school for sometime. I don't know how to explain this to him.5x+2>3x+10 I don' have the foggiest.I

Algebra ->  Inequalities -> SOLUTION: I am trying to help my son but am having difficulty being that I have been out of school for sometime. I don't know how to explain this to him.5x+2>3x+10 I don' have the foggiest.I      Log On


   

Question 337264: I am trying to help my son but am having difficulty being that I have been out of school for sometime. I don't know how to explain this to him.5x+2>3x+10 I don' have the foggiest.I have no examples to try to make sense of this.Please help!
5x+2>3x+10
5x-3x>10-2
2x>8
x>8/2
x>4
Found 2 solutions by Fombitz, chiexpert:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
5x%2B2%3E3x%2B10+
Solve it like any other algebra problem.
Get the x terms on the left side, everything else on the right.
Subtract 3x+from both sides.
5x-3x%2B2+%3E+3x-3x%2B10
2x%2B2%3E0%2B10
2x%2B2%3E10
Subtract 2 from both sides.
2x%2B2-2%3E10-2
2x%2B0%3E8
2x%3E8
Divide both sides by 2
%282x%29%2F2%3E8%2F2
%282%2F2%29x%3E4
%281%29x%3E4
x%3E4
.
.
.
Finally, verify the solution.
Pick an x so that x%3E4.
How about x=5
Test the inequality.
5x%2B2%3E3x%2B10+
5%285%29%2B2%3E3%285%29%2B10
25%2B2%3E15%2B10
27%3E25
True.
Also, choose another x that doesn't satisfy the inequality.
Let x=3
5x%2B2%3E3x%2B10
5%283%29%2B2%3E3%283%29%2B10
15%2B2%3E9%2B10
17%3E19
False, but that's what you expected.
So you have a good solution.
highlight%28x%3E4%29

Answer by chiexpert(48) About Me  (Show Source):
You can put this solution on YOUR website!

5x+2>3x+10
5x-3x>10-2
2x>8
x>8/2

a linear equations:
subtract 3x from both sides. and subtract 2 from both sides. divide positive 2 from both sides. you get x>4