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

Answers:

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.

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.

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.