SYSTEMS OF INEQUALITIES

Question

Y<3X+5

Y>-3X+2

Answer 1

Given y < 3 x + 5 and y > -3 x + 2

Convert inequalities into equations

y = 3 x + 5

y= -3 x + 5

Find the value of x and y for each equation. plug different values of x in both equations 

For y = 3 x + 5                                           

------------------                                           

 x             y

-----------------

 0            5

1             8

-1           2

 

For y = -3 x + 2

--------------

x               y

----------------

0             2

1            -1

-1           5

 

Choose a test point to determine the solution.

For the test point (0,0)

0 < 0 + 5     ==> 0 < 5 (true)

0 > 0 +2     ==> 0 > 2 (false)

Since first equation is true & second is false first line shaded towards the origin & second line outward the origin.

 

 

 

 

The solution is shaded in blue color where the two shading overlap one another.

Having more difficulty to solve inequalities i will help you out.