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.