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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?
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ACT Aspire Math: Placing the Solution to an Inequality on a Number Line 5 Views
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Description:
What is the graph of the solution set of the inequality -3x + 7 ≤ 13?
Transcript
- 00:01
Okay more number line matthew drills for your question what
- 00:05
is the graph of the solution Set of the inequality
- 00:08
Negative three x plus seven is less than or equal
- 00:11
the thirteen All right So which of these is it
- 00:18
people Well before we try to figure out how to
Full Transcript
- 00:20
draw three x on a number line we're not artistically
- 00:23
inclined you know let's solve the inequality well To isolate
- 00:26
the variable subtract seven from both sides And what is
- 00:29
that Negative three x plus seven is less than or
- 00:31
equal to thirteen We're going to get rid of seven
- 00:33
there so it's just negative Three x is less than
- 00:36
or equal to six and we divide both sides by
- 00:38
negative three And i remember when we multiplayer divide by
- 00:41
negative number We have to reverse the direction of the
- 00:44
inequality So then x is greater than or equal to
- 00:49
negative too well To graph the solution we need a
- 00:52
solid dot on the negative to extending to the rights
- 00:55
is greater than right Greater van always results in an
- 00:58
arrow that points to the right and the dot is
- 01:00
solid because it includes it It's equal to it as
- 01:03
well So wow we really thought that would include finger
- 01:06
painting or something in our artwork here But whatever the
- 01:09
answer is c that's what it looks like Arrow to
- 01:11
the right
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