What compound inequality represents the phrase "all real numbers that are greater than or equal to 0 and less than 8"
0 </= x < 8
To represent the phrase "all real numbers that are greater than or equal to 0 and less than 8" as a compound inequality, you would use the following set of inequalities:
x ≥ 0 and x < 8
Let's break it down further:
1. The inequality "x ≥ 0" means that the variable x is greater than or equal to 0. This includes 0 and all numbers greater than 0.
2. The inequality "x < 8" means that the variable x is less than 8. This includes all numbers less than 8 but does not include 8 itself.
So, when combined, the compound inequality represents all real numbers greater than or equal to 0 (including 0) and less than 8 (excluding 8).
The compound inequality that represents the phrase "all real numbers that are greater than or equal to 0 and less than 8" can be expressed as:
0 ≤ x < 8