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25 votes
25 votes
What is the solution set of x < -3 ∩ x > 5?

A. the empty set

B. all numbers except -3 and 5

C. all real numbers

D. the numbers between -3 and 5


2.
What is the solution set of x < 2Ux ?

A. all numbers less than -2 and greater than 2
B. all real numbers
C. the empty set
D. the numbers between -2 and 2

3.

Which of the following describes the graph of 1 < x < 2?

A. open circles on 1 and 2, line segment between
B. open circles on 1 and 2
C. open circles on 1 and 2, arrows pointing out
D. no solution

User DemianArdus
by
3.2k points

2 Answers

27 votes
27 votes

Your answers would be:

1.) A

2.) B

3.) A

User Lev Kazakov
by
2.7k points
27 votes
27 votes

Answer:

  • 1) A, 2) B, 3)A

Explanation:

#1

Intersection of the two given sets is the empty set as the sets cover two different intervals without common elements.

Correct choice is A

#2

Assume there is a union sign between sets.

The union of the two sets is both of them.

Correct choice is B

#3

Both the points are excluded, so both ends are open circles and the graph covers the interval between them.

Correct choice is A

User Jopela
by
2.9k points