Answer :

Given:

.

Signs of 2x – 3:

2x – 3 = 0 →

(Adding 3 on both the sides and then dividing both sides by 2)

2x – 3 < 0 →

(Adding 3 on both the sides and then dividing both sides by 2)

2x – 3 > 0 →

(Adding 3 on both the sides and then dividing both sides by 2)

Signs of 3x – 7:

3x – 7 = 0 →

(Adding 7 on both the sides and then dividing both sides by 3)

3x – 7 < 0 →

(Adding 7 on both the sides and then dividing both sides by 3)

3x – 7 > 0 →

(Adding 7 on both the sides and then dividing both sides by 3)

Zeroes of denominator:

3x – 7 = 0

(Adding 7 on both the sides and then dividing both sides by 3)

Interval that satisfies the required condition: < 0

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