Translate the sentence into an inequality.

Seven times the sum of a number and 24 is at most −19
Use the variable b for the unknown number.

the sum of a number and 24 ... b+24

7 times that sum ... 7(b+24)
Now finish it off

Sure thing! Let's translate the sentence into an inequality using the variable 'b' for the unknown number.

The sentence "Seven times the sum of a number and 24 is at most −19" can be written as:

7(b + 24) ≤ -19

To translate the given sentence into an inequality using the variable "b":

The sum of a number (b) and 24 is denoted as (b + 24).

"Seven times the sum of a number and 24" is represented as 7(b + 24).

The given sentence states that this expression is "at most -19", so it can be written as:

7(b + 24) ≤ -19.

Therefore, the inequality that represents the given sentence is 7(b + 24) ≤ -19.

To translate the sentence into an inequality, we'll follow these steps:

Step 1: Define the unknown number
Let's define the unknown number as 'b' and the sum of the number and 24 as (b + 24).

Step 2: Establish the equation
The sentence says "Seven times the sum of a number and 24," which in equation form is 7(b + 24).

Step 3: Write the inequality
The sentence also states "is at most -19." This means that the value 7(b + 24) is less than or equal to -19. Therefore, the inequality is:
7(b + 24) ≤ -19

And that's how you translate the sentence into an inequality using the variable b for the unknown number.