Q:

Please Help!!!!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.

Accepted Solution

A:
we haveInequality A[tex]4p+1> -11\\4p> -11-1\\4p> -12\\p>-3[/tex]the solution A is the interval------------> (-3,∞)Inequality B[tex]6p+3< 39\\6p< 39-3\\[/tex][tex]6p< 36\\p < 6[/tex]the solution B is the interval------------> (-∞,6)we know thatThe solution Inequality A or Inequality B is equal to(solution Inequality A+solution Inequality B)(-3,∞)+(-∞,6)=(-∞,∞) -------> all real numbersthereforethe answer is the optionD. number line with shading everywhere