A few days ago
Anonymous

Help with an inequality please ?

(2/2x-1)-(1/x+3) is < or = 0

Top 1 Answers
A few days ago
chasrmck

Favorite Answer

[2(x+3)-(2x-1)]/(2x-1)(x+3)≤0

2x+6-2x+1/(2x-1)(x+3)≤0

7/(2x-1)(x+3)≤0

for this to be true then

2x-1≤0 and x+3≥0

x≤1/2 and x≥-3

or

2x-1≥0 and x+3≤0

x≥1/2 and x≤-3 which would be impossible

so your solution is -3≤x≤½

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