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ACT Aspire Math: Graphing the Solution Set of an Inequality on a Number Line 2 Views


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Description:

What is the graph of the solution set of the inequality -7


Transcript

00:03

Okay Mass from uppers Another drill for you What's the

00:06

graph of the solution Set of the inequality Negative seven

00:10

is less than negative Two x plus one which is

00:12

less than five Okay And these little circle things mean

00:19

it's not actually equal to that number It's right up

00:22

to it but not equal to it To solve this

00:24

inequality we use the same steps that we would for

00:27

regular two sided inequality Except that what We make changes

00:31

to all three sides of the inequalities raising the stakes

00:35

First subtract one who making progress So what does that

00:39

give us Well it gives us negative eight over here

00:42

which is less than negative two acts which is then

00:44

less than four right Well next divide both sides by

00:47

negative to just put x in the middle there Since

00:50

we're dividing by negative number remember to reverse the direction

00:52

of little duck mouth phineas So then that's four duck

00:55

mouth acts duck mouth negative too Well we rewrite this

00:58

Inequality in the standard order like a negative is on

01:02

the left and positive is on the right So the

01:04

graph of the solution has opened circles Atnegative too and

01:08

positive for with the area between shaded So the answer 00:01:11.328 --> [endTime] to see right there that's what it looks like

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