Question

Graph the inequality on the axes below. 5 --I -4. y 10 O 8 7 5 4 -10 -9 -8 -6 -1 1 2 3 4 5 6 7 8 10 -6 -8 -9 -10

Answer 1

The region above the line y=5x/3 -4 represent the solution that satisfy the inequality y>5x/3 -4

To dray the graph, you can choose any two or more points of x and insert it into the equation y=5x/3 -4 to get the corresponding values of y and then plot them

test when x = 0, y = -4

when x = 3, y =1

To know which region is the reqired region, pick any point above the line and test if it gives a true statement when inserted in y>5x/3 -4

lets pick point (1,1)

inserting x=1 , y=1 into y>5x/3 -4

we have 1>5/3 -4

1 > -2.333 which give a true statement

Hence , the region above the line y=5x/3 -4 is the required region

The line y=5x/3 -4 is dotted because the points on the line y= 5x/3 -4 is not included