Question

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.

Answer 1

D line with shading everywhere

Explanation:

Answer 2

we have

Inequality A

`4p+1> -11\\4p> -11-1\\4p> -12\\p>-3`

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

Inequality B

`6p+3< 39\\6p< 39-3\\`

`6p< 36\\p < 6`

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