Question

can someone help me understand Graphing Linear Inequalities

Answer 1

They are two basic types of graphing methods I use un my class:

y=1/2x +4 called the slope intercept method
2x+3y=6 called the standard form method

do you know how to graph lines?
its teh first step to graph inequalities.

Answer 2

i think i do

Answer 3

okay great so if you have

y>1/2x +2

first graph
y=1/2x+2 but make teh line dotted because they is no - under the >

Answer 4

ok

Answer 5

then what?

Answer 6

okay great now we have to shade one side of the line of the other

Answer 7

we do taht by trying an experiment with a randomly choosen point not on the line, I always choose (0,0) if the graph doesnt go through it

Answer 8

we do this by put (0,0) which is (x, y) into y>1/2x +2

Answer 9

ok

Answer 10

to see if its true of false.

0>1/2(0) +2
0>0+2
0>2 is false

Answer 11

since it false we shade on teh side of teh line that (0,0) is not on if it was true we would shape on the side it is on

Answer 12

what do u mean true of false

Answer 13

when see here i took teh equation

y>1/2x + 2
and put 0 in for x and y and got
0>1/2(0) +2
0>0+2
0>2 is false
and since 0>2 is not a true statement its false

Answer 14

can u demonstrate with this problem y<x+3

Answer 15

okay

Answer 16

thanks

Answer 17

so I will graph y=x+3
y intercept is (0, 3)
and slope is 1/1

Answer 18

Okay I graphed the line okay

Answer 19

ok but u said that u shade in one side of it how do i figure that out

Answer 20

now I will do taht part

Answer 21

just taking it in steps

Answer 22

oh ok

Answer 23

now I will take my equation
y<x+3 and chose a point to experiement with I choose (0,0)

so if I take y<x+3 and repalce x and y with zero

0<0+3
0<3 which says zero is less than 3 which is true

Answer 24

ok then what...?????

Answer 25

so now I shape on teh side that has (0,0)