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Which inequality corresponds to the number line graph shown?
What is the graph of the solution set of the inequality -3x + 7 ≤ 13?
What is the graph of ?
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
Full Transcript
- 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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