SYSTEMS OF INEQUALITIES

Question

Y<3X+5

Y>-3X+2

Answer 1

Given inequalities are y < 3x+5

y > -3x+2

Write the two inequlities y = mx+c form

Draw the coordinate plane.

graph the lines y = 3x+5

y = -3x+2

The boundary of graph of y = 3x+5 is dashed with black colour and is not included in the graph of solution and the bondary of graph of y = -3x+2 is dashed with red colour and is not included in the graph of solution.

Graph of y < 3x+5 is shaded green colour and y > -3x+2 is shaded fuchisa colour.

The solution of the system is the set of ordered pairs in the intersection of the graph of y < 3x+5 and y < -3x+2 . This region is shaded in dark purple color.