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## Tamilnadu Samacheer Kalvi 11th Maths Solutions Chapter 2 Basic Algebra Ex 2.8

Question 1.

Find all values of x for which \(\frac{x^{3}(x-1)}{(x-2)}\) > 0

Solution:

Now we have to find the signs of

x^{3}, x – 1 and x – 2 as follows

x^{3} = 0; x – 1 = 0 ⇒ x = 1; x – 2 = 0 ⇒ x = 2

Plotting the points in a number line and finding intervals

So the solution set = (0, 1) ∪ (2, ∞)

Question 2.

Solution:

Plotting the points 3/2, 2 and 4 on the number line and taking the intervals.

Question 3.

Solution:

### Samacheer Kalvi 11th Maths Solutions Chapter 2 Basic Algebra Ex 2.8 Additional Questions

Question 1.

Solution: