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.

triangle abc is reflected on the line x=-6.5 then reflected again on the x axis

step-by-step explanation:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!