Question

For each value of y, determine whether it is a solution to -5-7y<44.
Is it a solution?

Answer 1

Answers:

1. Yes
2. No
3. Yes
4. No

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Step-by-step explanation:

Let's isolate y

-5 - 7y < 44

-5 < 44+7y

-5-44 < 7y

-49 < 7y

7y > -49

y > -49/7

y > -7

The solution set involves anything larger than -7. Visually, we'll be looking at stuff to the right of -7 on the number line.

This includes the values -1 and 3

Stuff like -9 and -7 are not solutions. Note how -9 is to the left of -7. We exclude -7 because a number cannot be larger than itself.

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We can check the answer by replacing y with whatever we want to try out.

Let's say we want to try y = -1

-5 - 7y < 44

-5 - 7(-1) < 44

-5 + 7 < 44

2 < 44

We end up with a true statement, so the original inequality is true when y = -1. This confirms y = -1 is a solution. I'll let you check the others.