translate it into an inequality

Eight times the sum of a number and 28 is at most 23

8 (n + 28) ≤ 23

Let's break down the problem into steps.

Step 1: Define the unknown number.
Let's assume the unknown number is represented by the variable "x."

Step 2: Write the expression.
"Eight times the sum of a number and 28" can be represented as 8(x + 28).

Step 3: Write the inequality.
The inequality "is at most" indicates using the less than or equal to symbol, which is ≤.

Putting it all together, we have the inequality:
8(x + 28) ≤ 23

To translate the given sentence into an inequality, let's break it down and assign variables:

Let's assume the number is represented by the variable 'x'.

The sum of a number and 28 can be written as (x + 28).

Eight times the sum of a number and 28 is 8 * (x + 28).

The phrase "is at most" implies that it should not exceed a certain value.

Therefore, the inequality can be written as:
8 * (x + 28) ≤ 23

Now you can solve this inequality:

8 * (x + 28) ≤ 23
8x + 224 ≤ 23
8x ≤ 23 - 224
8x ≤ -201
x ≤ -201/8

The inequality solution is x ≤ -201/8.