Question

Which of the following inequalities matches the graph? graph of an inequality with a solid line through the points (1, 4) and (2, 9) with shading below the line The correct inequality is not listed. 5x + y greater than or equal to 1 5x + y less than or equal to 1 5x − y greater than or equal to 1

Answer 1

Is 5x +y greater than or equal to 1

Answer 2

Answer with explanation:

Equation of line passing through the points (1, 4) and (2, 9) is given by

Formula

`(y-y_(1))/(x-x_(1))=(y_(2)-y_(1))/(x_(2)-x_(1))\\\\\text{Equation of line}\\\\(y-4)/(x-1)=(9-4)/(2-1)\\\\y-4=5(x-1)\\\\y-4=5x-5\\\\5x-y-5+4=0\\\\5x-y-1=0`

Now it is given that we have to shade below the line.

The most appropriate option among three is,

Option C:→5x − y greater than or equal to 1