Find the greatest digit that will make each sentence true 495< 95

Answer 1

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.