Question

Does changing the compound inequality x > −3 and x < 3 from “and” to “or” change the solution set? Explain.

Answer 1

Sure yes.

1) x > - 3 or x < 3 means that the solution set is all the numbers greater than - 3 and all the numbers smaller than 3. That is, this union of intervals: (-3,∞) U (-∞,3), which is all the real numbers.

2) x > -3 and x <3 means that the solution set is the numbers that are at the same time greater than -3 and smaller than 3. That is the intersection of the intervals: (-3,∞) ∩ (-∞,3), which is the interval (-3, 3).

Explanation:

looked it up and got it right on edg 2020

Answer 2

Sample Response: Yes, if you change the type of compound inequality, the solution set will change. The solution set of the “and” compound inequality contains values for x that satisfy both inequalities, which are values between –3 and 3. The solution set of the “or” compound inequality contains values for x that satisfy either or both inequalities, which includes all real numbers.

Explanation: