Question

The set of all x satisfying the inequality 4x-1/3x+1 >or=1 is

Answer 1

Ans.

Given,

3x+1

4x−1

−1≥0

⇒

3x+1

x−2

≥0

⇒x−2≥0 and 3x+1>0 or

x−2≤0 and 3x+1<0

i.e. x≥2 and x>−

3

1

or x≤2 and x<−

3

1

⇒x∈(−∞,−

3

1

)∪[2,∞)

=(−∞,− 31 )∪[2,∞)