Question
11. If the sum of half a number and 3 is smaller than twice the same number added to 3 , which of the following could be the number? A. 1 B. 0 C. -0.5 D. -2
Ask by Todd Maxwell.
Dec 03,2024 15:21
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Tutor-Verified Answer
Answer
The number could be 1.
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Bonus Knowledge
Let's solve the inequality given: If we denote the number as \( x \), the original statement can be expressed as:
\[
\frac{1}{2}x + 3 < 2x + 3
\]
Simplifying this, we remove 3 from both sides:
\[
\frac{1}{2}x < 2x
\]
Now, subtract \( \frac{1}{2}x \) from both sides:
\[
0 < \frac{3}{2}x
\]
This implies that \( x > 0 \). Now let's analyze the options:
A. 1: This is greater than 0.
B. 0: This is not greater than 0.
C. -0.5: This is not greater than 0.
D. -2: This is not greater than 0.
Therefore, the only viable option for the number is A. 1.
For a fun twist, if \( x \) were a donut, A is the only choice that’s nice and sweet—just like a fresh donut!
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