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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

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.

x = 23.78

step-by-step explanation: