Question 5 (Essay Worth 5 points) Determine the answer to (-3) + (-5) and explain the steps using a number line

The answer is -8.

A negative plus a negative is always going to be negative.

If you started on -3 and added -5, you would jump 5 times to the left (negative) of -3 to get to -8.

However, if it was -3 + 5, the answer would be 2, as you are jumping 5 times to the right (positive).

step-by-step explanation:

once you graph it hit 2nd (the blue button) and graph

that takes you to a table of coordinates

on the left is x coordinates and on the right is y coordinates and an empty box

(you may have to scroll up/down in order to get ( x, 0)

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is