Question
Find the greatest digit that will make each sentence true 495< 95
Answers
GPT-4o mini
To determine the greatest digit that can replace the question mark in "495 < 95?", let's analyze the inequality.
We can rewrite the inequality as:
\[ 495 < 95? \]
This means we need to find a digit 'd' (where d is between 0 and 9) such that:
\[ 495 < 950 + d \]
Now, let's simplify this inequality:
1. Rearranging gives us:
\[ 495 - 950 < d \]
\[ -455 < d \]
Since d must be a digit, it can take any value from 0 to 9. Since -455 is less than any digit, it does not provide any restrictions.
Now, let's find the maximum digit:
2. Since we want the greatest digit that makes the sentence true, we will use d = 9:
\[ 950 + 9 = 959 \]
Now, we check:
\[ 495 < 959 \]
This inequality is true.
Thus, the greatest digit that will make the sentence true is:
**9**.
We can rewrite the inequality as:
\[ 495 < 95? \]
This means we need to find a digit 'd' (where d is between 0 and 9) such that:
\[ 495 < 950 + d \]
Now, let's simplify this inequality:
1. Rearranging gives us:
\[ 495 - 950 < d \]
\[ -455 < d \]
Since d must be a digit, it can take any value from 0 to 9. Since -455 is less than any digit, it does not provide any restrictions.
Now, let's find the maximum digit:
2. Since we want the greatest digit that makes the sentence true, we will use d = 9:
\[ 950 + 9 = 959 \]
Now, we check:
\[ 495 < 959 \]
This inequality is true.
Thus, the greatest digit that will make the sentence true is:
**9**.