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Translate the sentence into an inequality.

Nine subtracted from the product of 6 and a number is at most -16
Use the variable b for the unknown number.

User Izruo
by
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1 Answer

7 votes

Answer:


6\,b-9\leq -16

Explanation:

SInce the sentence reads "Nine subtracted from..." start by creating the quantity that 9 would be subtracted from, to make the expression more obvious. So let's begin by making the product of 6 times a "number" (unknown value) and use for the unknown the letter "b" as requested:


6\,b. Now proceed to subtract 9 from this expression:


6\,b-9

The sentence now continues saying that this expression is at most -16. So we understand that the quantity we created above has to be smaller or at most equal to -16. Therefore, we use the inequality symbol "
\leq" to complete the sentence in mathematical terms:


6\,b-9\leq -16

User SPWorley
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