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Select the graph for the solution of the open sentence. Click until the correct graph appears. 5|x| + 3 < 18

Select the graph for the solution of the open sentence. Click until the correct graph-example-1
Select the graph for the solution of the open sentence. Click until the correct graph-example-1
Select the graph for the solution of the open sentence. Click until the correct graph-example-2
Select the graph for the solution of the open sentence. Click until the correct graph-example-3
Select the graph for the solution of the open sentence. Click until the correct graph-example-4
User Scrontch
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7.7k points

2 Answers

1 vote
The correct answer is the second graph. It is the one with open circles at -3 and 3 and a line connecting them.

To find this, you just solve the equation like a regular equation. Subtract 3 from both sides and then divide by 5.

You will get that the absolute value of x is less than -3. Therefore, x must be in between -3 and 3.
User Christopher Oezbek
by
8.1k points
4 votes

Answer:

The correct option is 2.

Explanation:

The given inequality is


5|x|+3<18

Subtract 3 from both the sides.


5|x|+3-3<18-3


5|x|<15

Divide both sides by 5.


|x|<(15)/(5)


|x|<3

If |x|<a, then the solution set is -a<x<a.


-3<x<3

-3 and 3 are not included in the solution set because the sign of inequality is <. So, there are open circle at x=3 and x=-3.

Only graph 2 represents the solution set.

Therefore the correct option is 2.

User Nopeva
by
7.7k points

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