Final answer:
To solve the inequality 37–654(x + 2), distribute, combine like terms, and isolate x.
Step-by-step explanation:
The inequality 37–654(x + 2) indicates what values will work for x?
To solve the inequality, we will start by distributing the negative sign to the terms inside the parentheses: 37–654x – 654(2).
Simplifying further, we have: 37 – 654x – 1308.
Combining like terms, we get: –1271 – 654x.
Now, to isolate x, we will need to bring the constant term –1271 to the other side of the inequality sign. Remember to reverse the inequality when multiplying or dividing by a negative number. So, our final answer is: x ≤ -1271/654.