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Which of the following is the correct graph of the compound inequality 4p + 1 < −11 or 6p + 3 > 39?
a number line with closed circles at negative 3 and 6 and shading in between.

number line with open dot at negative 3 with shading to the left and an open dot at 6 with shading to the right.

number line with open dots at negative 2 and 5 with shading in between.

number line with shading everywhere.

Respuesta :

The correct graph to the inequality is a number line with open dot at negative 3 with shading to the left and an open dot at 6 with shading to the right. The correct option is the second option

Linear Inequalities

From the question, we are to determine the graph for the given compound inequality

The given compound inequality is

4p + 1 < −11 or 6p + 3 > 39

Solve the inequalities separately

4p + 1 < −11

4p < -11 - 1

4p < -12

p < -12/4

p < -3

OR  

6p + 3 > 39

6p > 39 - 3

6p > 36

p > 36/6

p > 6

Thus,

p < -3 OR p > 6

Hence, the correct graph to the inequality is a number line with open dot at negative 3 with shading to the left and an open dot at 6 with shading to the right. The correct option is the second option

Learn more on Linear Inequalities here: https://brainly.com/question/5994230

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