Question

Systems of Equalities help?
https://prnt.sc/j40juu
hints for it: https://prnt.sc/j40jyq

Answer 1

So for this type of problem, you'd first want to identify the equations for the lines themselves. The red line has a y-intercept of -5 and goes up by a slope of 2. The blue line has a y-intercept of 2 and goes down with a slope of -7. Conveniently, all our choices are in the format of these two linear equations. The blue line can be described as y = 2x -5; the red line by the equation y = -7x +2.
Now, all you have to do is pay attention to which portions of the graph are highlighted, with respect to these two lines. Is the area above or below the blue line highlighted? The area above or below the red line? If the area above, then the inequality should be 'greater than', and if below, the inequality should be 'less than'.

Answer 2

@SmokeyBrown
does that mean its b?

Answer 3

I think the answer would be d.
Notice that the portion above the red line is highlighted, and the portion under the blue line is highlighted.

Answer 4

the inequality is y?

Answer 5

No, the whole equation is called an inequality, since it is written with a < or > sign instead of an = sign.

Answer 6

ohh

Answer 7

The inequality is represented on the graph with the line and its corresponding highlighted area.

Answer 8

can you help with like 4 more questions?

Answer 9

Sure, no problem

Answer 10

https://prnt.sc/j4xyvc

Answer 11

For starters, the pair must have a y-value that is 1 or more. All of the pairs, in fact, have a y-value greater than or equal to 1.
If you try plugging in the x-values to the inequality, you should find out which one has a y-value that matches the equation.

Answer 12

how do i figure out if it has a yvalue of 1+

Answer 13

In the answer choices, the ordered pairs are written in the format (x,y). So they all have a y-value that is 1 or more.

Answer 14

is it D?

Answer 15

Yup, that's right. Because when you plug 0 into the inequality, you get the y value 1, which matches the pair.

Answer 16

i just put it in desmos and it plotted the point (0,1)

Answer 17

Yeah, that'll work too

Answer 18

there's the question, the answer choices, and the hints

Answer 19

Ok, so for this one, you just need to find the intersection of the two inequalities in the question and then find the graph with the same intersection point. The lines themselves don't matter, just the intersection.

Answer 20

Ok, wait, no

Answer 21

First, find the point where the two inequalities intersect. Then, find the graph where that point falls between the highlighted that includes red and blue.

Answer 22

C?

Answer 23

Yup, the one with two downward lines and an overlapping highlighted area, that's right!

Answer 24

sweet

Answer 25

For this question, you just need to find out which point lies below the line y=x+2

Answer 26

A?

Answer 27

Not quite, the point (0,2) falls on the line, not below it.

Answer 28

d?

Answer 29

Yup, exactly

Answer 30

When you want to solve a system of inequalities, you look for the area that falls between the two lines. For instance, the overlap of the area above y =9x-9 and below y=x+6, because the inequality of the first line is greater than/equal to and the inequality of the second line is less than/equal to.

Answer 31

A?

Answer 32

Yup, I think that makes sense

Answer 33

ok

Answer 34

sweet, we got them all right

Answer 35

thank you for all your help!

Answer 36

No problem, I'm glad I could help!