Question
What is the smallest integer value that makes \( x \geq-10 \) true? Write your answer in the box.
Ask by Mccoy Moran. in the United States
Mar 14,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The smallest integer value is \(-10\).
Solution
To solve the inequality \( x \geq -10 \), we need to find the smallest integer value of \( x \) that satisfies this condition.
1. The inequality states that \( x \) must be greater than or equal to \(-10\).
2. The smallest integer that is greater than or equal to \(-10\) is \(-10\) itself.
Thus, the smallest integer value that makes \( x \geq -10 \) true is:
\[
\boxed{-10}
\]
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Extra Insights
The smallest integer value that satisfies the inequality \( x \geq -10 \) is \( -10 \) itself. This is because the inequality states that \( x \) can be any number greater than or equal to \( -10 \), meaning \( -10 \) qualifies as a valid solution. To double-check, if you plug in \( x = -10 \), you get \( -10 \geq -10 \), which is true! So, it’s definitely the smallest integer you’re looking for.