If the replacement set is {-3, -2, -1, 0, 1, 2, 3}, solve the inequation $$\dfrac {(3x – 1) }{2} < 2$$. Represent its solution on the number line.

Asked by Aaryan | 9 months ago |  99

##### Solution :-

Given

Replacement set = {-3, -2, -1, 0, 1, 2, 3} and

Inequation =$$\dfrac{(3x – 1) }{2} < 2$$

3x – 1 < 2 × 2

3x – 1 < 4

3x < 4 + 1

3x < 5

We get,

x < $$\dfrac{ 5 }{ 3}$$

Therefore, solution set = {…-3, -2, -1, 0, 1}

Graphical representation of this solution set is as follows:

Answered by Sakshi | 9 months ago

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