Respuesta :

The correct answer is: Option number 4 (Last Option)

Step-by-step explanation:

Given inequality is:

-6x > 42

In order to solve the inequality,

Dividing both sides by 6

[tex]-\frac{6x}{6} > \frac{42}{6}\\-x > 7[/tex]

Multiplying by -1

[tex]x<7[/tex]

As the solution is x<7, this means that the number 7 will not be included in the solution and all numbers less than 7 will be a part of the solution.

The number which is not included in the solution is marked by a shallow circle on the number line.

Hence,

The correct answer is: Option number 4 (Last Option)

Keywords: Number line, inequality

Learn more about inequality at:

  • brainly.com/question/899976
  • brainly.com/question/884169

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