Choose the compound inequality that represents each phrase.
All real numbers that are less than -3 or greater than or equal to 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" can be written as:
x < -3 or x >= 5
To express the compound inequality that represents the given phrase, we can break it down into two separate inequalities and combine them using the "or" operator.
The phrase "less than -3" can be represented as x < -3.
The phrase "greater than or equal to 5" can be represented as x ≥ 5.
Combining these two inequalities using the "or" operator gives us:
x < -3 or x ≥ 5.
Therefore, the compound inequality that represents the given phrase is:
x < -3 or x ≥ 5.