write and solve an inequality

Question

Multiply a number by -3. Then substract 8 fromthe product. The result is at most 22. Describe the number

Answer 1

Let our number be N.

Multiply by -3 make -3N

Then subtract 8 from the product makes -3N - 8

If the result is "at most" 22, then we need to keep it < 22

So the final expression is: -3N - 8 < 22

To solve this we will add 3N to both sides

-8 < 3N + 22

Subract 22 from both sides

-30 < 3N

Divide both sides by 3

-10 < N, or N > -10 <--- this is the final answer.