Multiple Choice
Choose the compound inequality that represents each phrase.
All real numbers that are less than –3 or greater than or equal to 5
(1 point)
Responses
x < –3 or x > 5
x < –3 or x > 5
x < 5 or x > –3
x < 5 or x > –3
x < –3 or x > 5
x < –3 or x > 5
x < –3 or x < 5
x < –3 or x > 5
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
To find the compound inequality that represents the given phrase, we need to consider the conditions separately and then combine them using the appropriate connector.
The phrase "less than –3" can be represented as x < –3, and the phrase "greater than or equal to 5" can be represented as x ≥ 5.
To combine these two conditions, we use the word "or" since we are looking for numbers that satisfy either one of the conditions. Therefore, the correct compound inequality is:
x < –3 or x ≥ 5.
So, the correct answer is:
x < –3 or x ≥ 5.