SOLUTION: Solve. 0.5x + 6 <_ 1.3x - 3 HELP PLEASE!! WIll someone help.

Question 138885: Solve.
0.5x + 6 <_ 1.3x - 3
HELP PLEASE!! WIll someone help.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
0.5x + 6 <= 1.3x - 3
:
Get rid of those annoying decimals: multiply equation by 10 and you have:
5x + 60 <= 13x - 30
:
Subtract 13x and 60 from both sides:
5x - 13x <= -30 - 60
:
-8x <= -90
:
We need the variable to be positive, multiply both sides by -1;
We have to reverse the inequality sign, when we do this:
8x >= 90
x >=
x >= 11.25
:
Check solution in original equation when x = 11.25
0.5(11.25) + 6 = 1.3(11.25) - 3
5.625 + 6 = 14.625 - 3; equality
:
Check solution when x > 11.25, let's use 12
0.5(12) + 6 < 1.3(12) - 3
6 + 6 < 15.6 - 3
12 < 12.6 is true
:
Did this make sense to you? Any questions?
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