Translate the sentence into an inequality.Three times the sum of a number and 27 is at most −23.Use the variable b for the unknown number.

Question

Three times the sum of a number and 27 is at most −23.

Use the variable b for the unknown number.

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To translate the sentence into an inequality, let’s break down the components:

Identify the Expression: We need to express "Three times the sum of a number and 27". The unknown number is represented by the variable $b$ . Therefore, the sum of the number and 27 can be written as $b + 27$ .
Multiply by Three: Next, we multiply this sum by 3: $3(b + 27)$
Set Up the Inequality: The phrase "is at most" suggests that this expression is less than or equal to $-23$ . In mathematical notation, this means: $3(b + 27) \leq -23$

The inequality is: $3(b + 27) \leq -23$

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