Question

Solve the inequality 5y-3 <= 12

Answer 1

Answer:

Explanation:

Consider the line

whose equation is 5y−12≥0 i.e. y=  

5

12

​

 

This represents a line parallel to X-axis passing 3   through the

point (0,  

5

12

​

)

Draw the line y=  

5

12

​

 

To find the solution set, we have to check the position of

the origin (0, 0)

when y = 0, 5y -12 = 5(0) - 12  = - 12 > 0

∴ the coordinates of the origin does not satisfy

the given inequality.

∴ the solution set consists of the line y=  

5

12

​

 and the non-origin side of the line which is shaded in the graph.