Question

Translate the sentence into an inequality.

Answer 1

Answer:

$6\,b-9\leq -16$

Step-by-step 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:

$6\,b-9\leq -16$