Question

Find the common interval between set A = ($-\infty$,-2) U (3,$\infty$) and set B = ($-\infty$, 7)

• A. (-∞, -2)
• B. (-∞, ∞)
• C. (-∞, 7)
• D. (-∞, -2)∪(3, 7)

Answer 1

The correct option is D

(-∞, -2)∪(3, 7)

Set A = ($-\infty$,-2) U (3,$\infty$)

B = ($-\infty$, 7)

Lets plot the set A and set B on the number line

Number line plot of set A

Number line plot of set B

To get the common part between set A and set B

Draw both set A and set B on a number line.

So, common part between them

($-\infty$,-2) U (3,$\infty$)