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Please help! Select the graph for the solution of the open sentence. Click until the correct graph appears.
|x| > 1

(Possible answers attached)


Thanks in advance!

Please help Select the graph for the solution of the open sentence Click until the correct graph appears x gt 1 Possible answers attached Thanks in advance class=
Please help Select the graph for the solution of the open sentence Click until the correct graph appears x gt 1 Possible answers attached Thanks in advance class=
Please help Select the graph for the solution of the open sentence Click until the correct graph appears x gt 1 Possible answers attached Thanks in advance class=
Please help Select the graph for the solution of the open sentence Click until the correct graph appears x gt 1 Possible answers attached Thanks in advance class=

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chrysanthemum
The answer would look like the first picture provided, except it wouldn't be a solid line, it would be dotted line (an > sign or < sign doesn't include the value it's pointing at or away from).

Answer:

The correct option is 1.

Step-by-step explanation:

If we have an inequity |x|>a, then the solution set for this inequity is

[tex]x<-a\text{ or }x>a[/tex]

[tex](-\infty,-a)\cup (a,\infty)[/tex]

The given inequity is

[tex]|x|>1[/tex]

Here a=1, therefore the solution set for this inequality is

[tex]x<-1\text{ or }x>1[/tex]

[tex](-\infty,-1)\cup (1,\infty)[/tex]

-1 and 1 are not included in the solution set because the sign of inequity are < and >. It means there are open circle at -1 and 1.

Only graph 1 represents the solution set, therefore the correct option is 1.

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