(
choose the correct description of the graph of the compound inequality:
x − 3 < −7 or x + 5 greater than or equal to 8
a. a number line with an open circle on −4, shading to the left, and a closed circle on 3, shading to the right
b. a number line with a closed circle on −4, shading to the left, and an open circle on 3, shading to the right
c. a number line with an open circle on −4, a closed circle on 3, and shading in between
d. a number line with a closed circle on −4, an open circle on 3, and shading in between

we have the compound inequality

--------> inequality A

The solution inequality A is the interval-------> (-∞,-4)

A number line with an open circle on , shading to the left

--------> inequality B

The solution inequality B is the interval--------> [3,∞)

A number line with a closed circle on , shading to the right

so

The solution inequality A or inequality B is equal to  

Solution A +Solution B=(-∞,-4) + [3,∞)

therefore

the answer is the option A

A number line with an open circle on −4, shading to the left, and a closed circle on 3, shading to the right

b. 2

step-by-step explanation:

the slope of a line =δy/δx

δy= y₂-y₁

δx= x₂-x₁

therefore, using the points (-2,-3)   and (3,7) we can calculate gradient as follows:

m=(7--3)/(3--2) (a number minus a negative number the sign changes to a plus)

m=(7+10)/(3+2)

=10/5

=2