Question
elect the values that make the inequality \( a<3 \) true. Numbers written in order from least to greatest going acro Answer Attemptiout ofz \( \begin{array}{lll}-5 & -2 & 0 \\ 2 & 2.9 & 2.99 \\ 2.999 & 3 & 3.001 \\ 3.01 & 3.1 & 4 \\ 6 & 8 & 11\end{array} \)
Ask by Medina Lane. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The numbers that satisfy \( a < 3 \) are: -5, -2, 0, 2, 2.9, 2.99, and 2.999.
Solution
To determine which values satisfy the inequality \( a < 3 \), we'll examine each number in the provided list:
\[
\begin{array}{lll}
-5 & -2 & 0 \\
2 & 2.9 & 2.99 \\
2.999 & 3 & 3.001 \\
3.01 & 3.1 & 4 \\
6 & 8 & 11
\end{array}
\]
**Evaluation:**
- **-5, -2, 0:** All these numbers are less than 3.
- **2, 2.9, 2.99, 2.999:** These are also less than 3.
- **3:** This is equal to 3, so it does **not** satisfy \( a < 3 \).
- **3.001, 3.01, 3.1, 4, 6, 8, 11:** All these numbers are greater than 3.
**Values that satisfy \( a < 3 \):**
\[
-5, \quad -2, \quad 0, \quad 2, \quad 2.9, \quad 2.99, \quad 2.999
\]
**Summary:**
The numbers **-5, -2, 0, 2, 2.9, 2.99, and 2.999** make the inequality \( a < 3 \) true.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
To make the inequality \( a < 3 \) true, we need to select values less than 3 from the given options. The numbers that satisfy this criteria are: -5, -2, 0, 2, 2.9, 2.99, and 2.999. These values are all less than 3, while 3 and any number greater than 3, like 3.001, 3.01, 3.1, 4, 6, 8, and 11 do not make the inequality true. So, go ahead and visualize the number line: you’ll see all those values cozying up to 3 but never crossing it!
