Question

BIG IDEAS MATH apter 2: Solving Systems of Linear Inequalities > Section Exercises 2 The following points are the vertices of a triangle (0, -2),(4,6),(4, -2) a. Write a system of linear inequalities that represents the point inside

Answer 1

We can write the inequalities with the biggest and smaller value of x and y so for x the biggest value is 4 and the smallest one is 0 so

`0\le x\le4`

and for y the maximun value is 6 and the minumun value is -2 so:

and the hight is the range of y so:

`H=6-(-2)=8`

Now we can calculate the area (A) with the formula:

`\begin{gathered} A=(B\cdot H)/(2) \\ A=(4\cdot8)/(2) \\ A=16 \end{gathered}`