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.

D. Number line with shading everywhere

1. p>-3

2. p<6

Step-by-step explanation:

1. 4p+1>-11

Subtract by 1 both sides of equation.

4p+1-1>-11+1

Simplify.

4p>-12

Divide by 4 from both sides of equation.

4p/4>-12/4

Simplify, to find the answer.

-12/4=-3

p>-3 is the correct answer.

2. 6p+3<39

Subtract by 3 from both sides of equatoin.

6p+3-3<39-3

Simplify.

39-3=36

6p<36

Divide by 6 from both sides of equation.

6p/6<36/6

Simplify, to find the answer.

36/6=6

p<6 is the correct answer.

D is the correct answer.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

one set of data has more variation than the other. hope this !