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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

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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