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Mathematics 8 Online
OpenStudy (jenniferjuice):

Choose the correct description of the graph of the compound inequality x - 3 < -11 or x + 5 ≥ 14

OpenStudy (jenniferjuice):

A number line with a closed circle on -8, shading to the left, and an open circle on 9, shading to the right. A number line with an open circle on -8, a closed circle on 9, and shading in between. A number line with an open circle on -8, shading to the left, and a closed circle on 9, shading to the right. A number line with a closed circle on -8, an open circle on 9, and shading in between.

jimthompson5910 (jim_thompson5910):

solve x - 3 < -11 for x and tell me what you get

OpenStudy (jenniferjuice):

um...x<-8

jimthompson5910 (jim_thompson5910):

good

jimthompson5910 (jim_thompson5910):

how about x + 5 ≥ 14

OpenStudy (jenniferjuice):

x≥9

jimthompson5910 (jim_thompson5910):

good

jimthompson5910 (jim_thompson5910):

so x<-8 and x≥9

jimthompson5910 (jim_thompson5910):

what would the graph of that look like

OpenStudy (jenniferjuice):

...

jimthompson5910 (jim_thompson5910):

do it in pieces

jimthompson5910 (jim_thompson5910):

what would the graph of x < -8 look like ?

OpenStudy (jenniferjuice):

9 is closed circle with arrow pointing to the right ?

jimthompson5910 (jim_thompson5910):

x < -8 means you have an open circle at -8 then you shade to the left

jimthompson5910 (jim_thompson5910):

x ≥ 9 means you have a closed circle at 9, then you shade to the right

jimthompson5910 (jim_thompson5910):

so combine these two graphs to get _______

OpenStudy (jenniferjuice):

A number line with a closed circle on -8, shading to the left, and an open circle on 9, shading to the right.

jimthompson5910 (jim_thompson5910):

you have it backwards when it comes to the open and closed circles

OpenStudy (jenniferjuice):

this then? A number line with a closed circle on -8, an open circle on 9, and shading in between.

jimthompson5910 (jim_thompson5910):

this: A number line with an open circle on -8, shading to the left, and a closed circle on 9, shading to the right.

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