Respuesta :

The correct number line that shows the solution to the compound inequality is given by:

Number Line A.

What is a compound inequality?

A compound inequality is an inequality that is composed by multiple conditions.

Then these conditions are related with one of two operations, listed as follows:

  • and operation: the values need to respect all the conditions of the compound inequality.
  • or operation: the values need to respect at least one of the conditions of the compound inequality.

In this problem, the compound inequality is given as follows:

3x - 5 > 1 or -2x ≤ -10.

The solutions to the first condition are given as follows:

3x > 6

x > 2.

The solutions to the second condition are given as follows:

2x ≥ 10

x ≥ 5.

The interval of values that is the union of these solutions is given by:

x > 2.

Hence number line A is the solution to the inequality.

Missing Information

The complete problem is given by the image shown at the end of the answer.

More can be learned about inequalities at https://brainly.com/question/25275758

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