Question

can someone teach me how to graph an inequality on a number line

Answer 1

Do you have any you want to graph?

Answer 2

i mean like just on a numbrt line from -5 to 5
how would i graph y > 2x - 1

Answer 3

oh you wouldn't graph y > 2x - 1 on a number line

you would graph it on a 2D coordinate plane

Answer 4

no u could do it on a number line

Answer 5

if you had something like x > 7, then you would use a number line

but if you have y > 2x - 1, then you would first graph y = 2x - 1, make it a dashed line, then shade above that dashed line

Answer 6

well i have to do one on the number line u think u can help

Answer 7

yes I can, but y > 2x - 1 can't be done on a number line

you have to have only one variable

Answer 8

to graph something like x > 7 on a number line, you

draw an open circle at 7 on the number line

then shade to the right of that open circle

Answer 9

but say it was -3(x - 2)≤12 how would i graph that ???

Answer 10

notice how there is only one variable, so this is possible to graph on the number line

Answer 11

you first must solve for x

Answer 12

the wold be 1 rite

Answer 13

-3(x - 2)≤12

-3x + 6 ≤ 12

-3x ≤ 12 - 6

-3x ≤ 6

x ≥ 6/(-3)

x ≥ -2

Do you know how to graph x ≥ -2 ?

Answer 14

no and i have a test tommorow on this

Answer 15

to graph x ≥ -2, you draw a closed circle at -2 on a number line

then you shade to the right of this closed circle

Answer 16

you shade to the right because of the ≥ sign

Answer 17

so if the sign was -2 ≤x would i go to the left??

Answer 18

if it was x ≤ -2, then you would shade to the left

Answer 19

how would i kno wen to shade

Answer 20

≤ means shade to the left

≥ means shade to the right

Answer 21

the variable is always on the left side

Answer 22

ok and wen to fill in the circle

Answer 23

if there is a line under the < or > then you use a filled in circle

if there isn't a line under the < or >, then you don't fill in the circle

Answer 24

ohh that makes sense thank you!!

Answer 25

≤ shade to left, filled in circle
≥ shade to right, filled in circle


< shade to left, NOT filled in circle
> shade to right, NOT filled in circle


variable is always on the left side

Answer 26

makes sense thank you!!

Answer 27

you're welcome