Consider the following sets.

U = {all real number points on a number line}
A = {solutions to the inequality 3x + 4 ≥ 13}
B = {solutions to the inequality x + 3 ≤ 4}

For which values of x is A ⋃ B = Ø?

a 2 < x < 3
b 2 ≤ x ≤ 3
c x ≤ 2 and x ≥ 3
d x < 2 and x > 3

Answer :

Answer:

A. 2 < x < 3

Step-by-step explanation:

The values of x which A ⋃ B = Ø is:

  • A. 2 < x < 3


What is a Set?

This refers to the grouping of data which can be graphically represented on a Venn diagram.


With this in mind, we have a set of data which makes use of a general set that contains:

  • All real number points on a number line
  • {solutions to the inequality 3x + 4 ≥ 13}
  • {solutions to the inequality x + 3 ≤ 4}

Therefore, the values of x to which A ⋃ B = Ø is:

  • 2 < x < 3

Read more about sets of data here:

https://brainly.com/question/10005803

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