Question

What kind of compound inequality is

x≥-3
and
x<3
?
a. disjunction
b. hole
c. union
d. intersection

Answer 1

The answer is D intersection

Remember that AND indicates an intersection and OR indicates a union.

Explanation:

Solve each inequality and then find the intersection.

Inequality Form: −3≤ x<3

Interval Notation:[−3,3)

Answer 2

`x \geqslant - 3 \: \: \: \: \: \: x < 3`

Interval 1: x ε [ - 3 , ∞ )

Interval 2: x ε ] - ∞ , 3 [

Solution: x ε [ - 3 , 3 [

d. Intersection