please help to write the inequality for this problem. the difference between a number and 10 is at most 27.

n - 10 ≤ 27

how is this problem solved? would love to know

n - 10 ≤ 27

Add 10 to both sides.

n ≤ 37

To write the inequality for this problem, let's break it down step by step:

Step 1: Identify the unknown quantity.
The problem mentions "a number," so let's call the unknown quantity "x."

Step 2: Determine what the problem is asking for.
The problem states that "the difference between a number and 10 is at most 27." This means that the difference (result of subtraction) between the unknown quantity (x) and 10 should not exceed 27.

Step 3: Set up the inequality.
Since we want the difference (x - 10) to be at most 27, we can write the inequality as follows:
x - 10 ≤ 27

And that's it! The inequality for this problem is x - 10 ≤ 27.