Question

Match the following intervals in Column I with the sets in Column II and choose the correct option from the codes given below.

Column I		Column II
A	$(-3,0)$	1	$\{x: x \in R, 6 < x \leq 12\}$
B	$[6,12]$	2	$\{x: x \in R,-23 \leq x < 5\}$
C	$(6,12]$	3	$\{x: x \in R,-3 < x < 0\}$
D	$[-23,5)$	4	$\{x: x \in R, 6 \leq x \leq 12\}$

• A. A - (1), B -(2), C -(3), D -(4)
• B. A - (3), B -(4), C -(1), D -(2)
• C. A - (4), B -(1), C -(2), D -(3)
• D. A - (2), B -(3), C -(4), D -(1)

Answer 1

Answer: (B)

The interval $(-3,0)$ is open at both the ends. So, it can be represent in set-builder form as $\{x: x \in R,-3 < x < 0\}$.
The interval $[6,12]$ is closed at both end. So, it can be represent as $\{x: x \in R, 6 \leq x \leq 12\}$.
Similarly, we can represent other intervals.