Question
Select the values that make the inequality \( a<3 \) true. (Numbers written in order from least to greatest going across.)
Ask by Schneider Carroll. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Numbers less than 3, such as -5, -2, 0, 1, 2, and 2.5, satisfy the inequality \( a < 3 \).
Solution
To determine which values make the inequality \( a < 3 \) true, we need to select all numbers that are **less than 3**. Here are some examples of such numbers listed in order from least to greatest:
- **\-5**
- **\-2**
- **0**
- **1**
- **2**
- **2.5**
**Explanation:**
- **\-5**, **\-2**, and **0** are all numbers less than 3.
- **1**, **2**, and **2.5** are also less than 3.
- Any number **greater than or equal to 3** (such as 3, 4, 5, etc.) **does not** satisfy the inequality \( a < 3 \).
So, all numbers **below 3** make the inequality \( a < 3 \) true.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
To satisfy the inequality \( a < 3 \), any number less than 3 will make the inequality true. This includes numbers like 2, 1, 0, -1, -2, and so on. So, if you were to list out values in order from least to greatest, you might write: -2, -1, 0, 1, 2. It's worth noting that while these numbers work, you can go all the way down to negative infinity and just shy of 3 to keep the inequality valid! So really, the range extends infinitely to the left of 3.
