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Mathematics 15 Online
OpenStudy (sparklestaraa):

Choose the correct description of the graph of the compound inequality: A number line with an open circle on 8, shading to the left, and an open circle on 11, shading to the right A number line with an open circle on 8, an open circle on 11, and shading in between A number line with a closed circle on 8, a closed circle on 11, and shading in between A number line with a closed circle on 8, shading to the left, and a closed circle on 11, shading to the right

OpenStudy (sparklestaraa):

OpenStudy (dtan5457):

First you need to isolate x in both equations

OpenStudy (dtan5457):

First one is x-1<=7

OpenStudy (dtan5457):

add one on both sides

OpenStudy (dtan5457):

you get x<=8

OpenStudy (dtan5457):

2nd one you have 2x>=22

OpenStudy (dtan5457):

divide by 2 x>=11

OpenStudy (dtan5457):

from what i told you about open and closed circles, which of these describe those 2 equations?

OpenStudy (dtan5457):

i'll give you a hint they are both closed circles.

OpenStudy (dtan5457):

and they are an OR inequality

OpenStudy (sparklestaraa):

A number line with an open circle on 8, an open circle on 11, and shading in between

OpenStudy (sparklestaraa):

??

OpenStudy (dtan5457):

"shading in between" that describes an AND inequality

OpenStudy (dtan5457):

and plus that one says they have open circles which i clearly just said they are both closed

OpenStudy (sparklestaraa):

sorry its late i read it as open

OpenStudy (dtan5457):

choose another answer

OpenStudy (misty1212):

\[\leq , \geq\] Closed circles \[<,>\] Open circles

OpenStudy (misty1212):

it is easy to tell, look to see if the line is underneath it it is the circle is closed, it it is not, the circle is open

OpenStudy (sparklestaraa):

D?

OpenStudy (dtan5457):

correct. good job

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