Question
Which inequality represents the sentence below?
Five less than the product of a number and eight is no more than 13.
Five less than the product of a number and eight is no more than 13.
Answers
Answered by
GPT-4o mini
To translate the sentence "Five less than the product of a number and eight is no more than 13" into an inequality, let's break it down step by step.
1. Let the number be represented as \( x \).
2. The product of the number and eight is represented as \( 8x \).
3. "Five less than the product" means we subtract 5 from this product, which can be written as \( 8x - 5 \).
4. The phrase "is no more than 13" indicates that this expression is less than or equal to 13.
Now, we can combine these parts into an inequality:
\[
8x - 5 \leq 13
\]
Thus, the inequality that represents the given sentence is:
\[
8x - 5 \leq 13
\]
1. Let the number be represented as \( x \).
2. The product of the number and eight is represented as \( 8x \).
3. "Five less than the product" means we subtract 5 from this product, which can be written as \( 8x - 5 \).
4. The phrase "is no more than 13" indicates that this expression is less than or equal to 13.
Now, we can combine these parts into an inequality:
\[
8x - 5 \leq 13
\]
Thus, the inequality that represents the given sentence is:
\[
8x - 5 \leq 13
\]