Question

Write a compound inequality that represents each situation. Graph your solution. all real numbers at least –8 and at most 0 –8 > x > 0ompound inequality that represents each situation. Graph your solution. all real numbers that are greater than –6 but less than 6 A) –6 ≤ x < 6 B) –6 ≤ x ≤ 6 C) –6 < x < 6 D) –6 < x ≤ 6

Answer 1

The compound inequality for all real numbers at least –8 and at most 0 can be expressed as: -8 ≤ x ≤ 0 and for all real numbers that are greater than –6 but less than 6 is -6 < x < 6.

What is a compound inequality?

A compound inequality can be defined as an expression that links more than one simple inequalities together. The inequalities used are greater than >, less than <, greater than or equal to ≥, less than or equal to ≤.

The graphical representation of a compound inequality, either closed ended or open ended circles are used to denote if the endpoint are included or not in the solution set.

From the given information:

The compound inequality for all real numbers at least –8 and at most 0 can be expressed as:

-8 ≤ x ≤ 0

The compound inequality for all real numbers that are greater than –6 but less than 6 is -6 < x < 6.

The attached file below shows the graphical representation of each compound inequality.