Which of the following is the correct graph of the compound inequality 4p + 1 > −7 or 6p + 3 < 33? . a. a number line with open circles at -2 and 5 with shading in between.. b. number line with open dots at ¨c2 and 5 and shading to the right of 5 and to the left of ¨c2.. c. number line with shading everywhere.. d. number line with open dot at ¨c2 and a closed dot at 5 and shading in between.

Option: A is the correct answer.

A.    a number line with open circles at -2 and 5 with shading in between.

We are given a system of linear inequality in terms of variable ''p'' as:

(1)            

on subtracting -1 from both side of the inequality we get:

Now on dividing both side of the inequality by 4 we get:

Hence, the region that is obtained is:

                     (-2,∞)

(2)        

on subtracting -3 from both side of the inequality we get:

Now on dividing both side of the inequality by 5 we get:

Hence, the region that is obtained is:

                   (-∞,5)

Hence, the common region that is obtained by both the inequalities is:

                    (-2,5)

i.e. the graph will be a number line with open circle both at -2 and 5 and shading in between them.

step-by-step explanation:

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