How many integers are in the set of numbers from -10 to 10 inclusive? Explain.

From -10 to 10 there are 20 numbers.

Step-by-step explanation:

When you are trying to determine this kind of question, you start counting backward from -10. So it would be -10, -9, -8, -6, -5, -4, -3, -2, -1, and 0. When you get to 0, you start counting forward. So it would be 1, 2, 3, 4, 5, 6, 7,8,9, and 10. So when you count all of them together that would give you the number 20.

40 minutes

step-by-step explanation:

add the time and multiply by 2

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