SOLUTION: 5-2x/3>1/2+x/4. how do i solve this inequality? and what positive intergers will satisfy this inequality? please explain step by step. thank you
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-> SOLUTION: 5-2x/3>1/2+x/4. how do i solve this inequality? and what positive intergers will satisfy this inequality? please explain step by step. thank you
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Question 725142: 5-2x/3>1/2+x/4. how do i solve this inequality? and what positive intergers will satisfy this inequality? please explain step by step. thank you Answer by checkley79(3341) (Show Source):
You can put this solution on YOUR website! 5-2x/3>1/2+x/4
-2x/3-x/4>-5+1/2
(-2x*4-x*3)/3*4>-4.5
(-8x-3x)/12>-4.5
-11x/12>-4.5 cross multiply.
-11x>12*-4.5
-11x>-54
x<-54/-11 note the sign change when dividing by a negative value.
x<54/11
x<4.9 ans.
Proof:
Let x=4.8
5-2*4.8/3>1/2+4.8/4
5-9.6/3>1/2+1.2
5-3.2>.5+1.2
1.8>1.7
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