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Skills needed: Linear Inequalities

Step-by-step explanation:

1) Now, we need to understand the idea of linear inequalities. Linear inequalities have usually a region of points that make up the solution. Check the images I posted for reference.

There are usually 4 symbols used for inequalities:

Important note: If it includes or , then that means the solution includes points on the line.

2) In this situation, we have two lines:

(Which is the line that is more steep + Contains BOTH points A and D) and (Which is the line that is less steep + Contains ONLY point A as part of it).

We need to make 2 inequalities so Point C is the only solution.

---> This means we cannot use and as those will include points on the line (Points a and d) as solutions.

3) So or

AND or

----> For the inequality involving the line , we have two possibilities:

The y-value is greater than twice the x-value plus one

The y-value is less than twice the x-value plus one

----> Let's use Point C to see which one it will fall under. The coordinates of point C are: (3, 1) --> We plug in these values for y and x

1 is the y-value, 3 is the x-value.

This means that: for Point C to be a solution

4) The same rules above apply for the next line (2 possibilities):

The y-value is greater than one-fourths the x-value plus five-halves OR

The y-value is less than one-fourths the x-value plus five-halves

---> Let's plus (3, 1) in again

This means that: for Point C to be a solution

the answer is b. 60. each interior angle in 120, so the exterior angle must be 60 in order to add up to 180

step-by-step explanation:

b.-4 units

all you   do is count how many times you move