Solve the system of in equations : x/ (2x+1) ≥ ¾ 6x / (4x-1 ) ≥ ½ . and x + 3 / ( 2x+5) ≥ -5
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Answer:
First equation
x/ (2x+1) ≥ ¾ 6x / (4x-1 ) ≥ ½
Put x=1
1/3 > 3/4*6/3 > 1/2
1/3 > 2/3 > 1/2 not correct
Put x = - 1
1 > 3/4*6/5 > 1/2
1 > 18/20 > 1/2
1 > 9/10 > 1/2
So x < - 1
Second equation
x + 3 / ( 2x+5) ≥ -5
Put x = 1
4/7 > - 5
Put x=0
3/5 > - 5
Now
x+3 > - 10x - 25
11x > - 28
x > - 28/11
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