Question

""Choose the compound inequality that represents each phrase:

all real numbers that are less than -3 or greater than or equal to 5.

A) x < -3 or x ≥ 5
B) x < 5 or 2 - 3
C) x < -3 or x > 5
D) x ≤ -3 or x < 5""

Answer 1

The compound inequality that represents the phrase 'all real numbers that are less than -3 or greater than or equal to 5' is x < -3 or x ≥ 5.

Step-by-step explanation:

The compound inequality that represents the phrase 'all real numbers that are less than -3 or greater than or equal to 5' is option A) x < -3 or x ≥ 5.

To understand why, we need to break down the phrase:
- 'less than -3' is represented by x < -3
- 'greater than or equal to 5' is represented by x ≥ 5

Using the word 'or' to connect the two inequalities, the compound inequality becomes x < -3 or x ≥ 5.