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MrEquation
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.

Answer:

The correct option is 2.

Step-by-step explanation:

The given inequality is

[tex]5|x|+3<18[/tex]

Subtract 3 from both the sides.

[tex]5|x|+3-3<18-3[/tex]

[tex]5|x|<15[/tex]

Divide both sides by 5.

[tex]|x|<\frac{15}{5}[/tex]

[tex]|x|<3[/tex]

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

[tex]-3<x<3[/tex]

-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.

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