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

Answer with explanation:

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

   Formula

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

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

Answer 2

Is 5x +y greater than or equal to 1