which of the following is the correct graph of the compound inequality 4p + 1 > −11 or 6p + 3 < 39? a. a number line with closed circles at negative 3 and 6 and shading in between. b. number line with open dot at negative 3 with shading to the left and an open dot at 6 with shading to the right. c. number line with open dots at negative 2 and 5 with shading in between. d. number line with shading everywhere.

we have

Inequality A

the solution A is the interval------------> (-3,∞)

Inequality B

the solution B is the interval------------> (-∞,6)

we know that

The solution Inequality A or Inequality B is equal to

(solution Inequality A+solution Inequality B)

(-3,∞)+(-∞,6)=(-∞,∞) -------> all real numbers

therefore

the answer is the option

D. number line with shading everywhere

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.