Question

graph each system of inequalities

2x-y <5
3x + y > 4
-

Answer 1

this is more algebra. first put them into the form y> or < mx+b (btw use >= if you can't type ≥)

Answer 2

It's a bit trickier than = because if you multiply both sides by -1 the inequality switches.

Answer 3

ok well can you help me

Answer 4

2x-y <5
add y to both sides

Answer 5

y is nothing

Answer 6

You don't like letters. y is y. You can add y's or subtract y's. That is what algebra is all about. So go with the flow here.

Answer 7

ok lol.. help me please im exhausted

Answer 8

add just means write down +y
for example: add y to 3: 3+y

Answer 9

2x-y <5
add y to both sides

Answer 10

3y

Answer 11

do this (pay attention)
2x-y+y < 5+y (I added y to both sides)

Answer 12

now -y+y= 0 (no matter what y is when we subtract them it is zero)

Answer 13

ok

Answer 14

so simplify 2x-y+y to just 2x. We now have
2x<5+y

add -5 to both sides.

Answer 15

addd -5 to 2?

Answer 16

to 2x (not just 2)
remember if the term is not a simple number, you just write down -5+2x

Answer 17

so -3x

Answer 18

you can't combine numbers with terms like 3x. So you write down -5+2x or 2x-5

Answer 19

ok then what

Answer 20

what do we have now?

Answer 21

idk im so exhausted

Answer 22

wait so i graph that ?

Answer 23

we have -5+2x < y
This says y is bigger than 2x-5
now you know we can re-write this as
y > 2x - 5
This says y is bigger than 2x -5

Now we plot the line y= 2x -5 . We make it dotted because the inequality is > (not ≥)
then we shade the area above the line.

Answer 24

y= 2x-5 is a line
y> 2x-5 is all those places where y is above (bigger than the y that is on the line)

Answer 25

ok

Answer 26

so go down to -5

Answer 27

up 2 over 1

Answer 28

yes.

Answer 29

ok thats one line

Answer 30

can you help me with this one 3x+y > 9
2x + y >= 6