Answer :

Given:


.


Subtracting 2 from both the sides in the above equation






Signs of 3 – 2x:


3 – 2x = 0 x =


(Subtracting by 3 on both the sides, then multiplying by -1 on both the sides and then dividing both the sides by 2)


3 – 2x < 0 x >


(Subtracting by 3 on both the sides, then multiplying by -1 on both the sides and then dividing both the sides by 2)


3 – 2x > 0 x <


(Subtracting by 3 on both the sides, then multiplying by -1 on both the sides and then dividing both the sides by 2)


Signs of x – 1:


x – 1 = 0 x = 1 (Adding 1 on both the sides)


x – 1 < 0 x < 1 (Adding 1 on both the sides)


x – 1 > 0 x > 1 (Adding 1 on both the sides)


Zeroes of denominator:


x – 1 = 0 x = 1


At x = 1, is not defined


Intervals satisfying the condition: ≤ 0


x < 1 and


Therefore,



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