Inequality 1: y < 1
Inequality 2:y => -3.
How to determine inequality equation represented by a line graph.
For horizontal line, equation of lines parallel to x- axis is always represents as
y = a,
where
a is the y-intercept of the line.
Equation 1 is y = 1 and equation 2 is y = -3
Convert the equations to inequalities by observing line if it is broken line or thick and continuous line.
For y = 1
The line is a broken line, the boundary is not included in solution.
And the area below the line is shaded( that is the area below are where the solution lies.
Therefore, the inequality 1 is y < 1
For y = -3
The line graph is thick and continuous ( that is the boundary line is concluded)
Area is above the line is shaded ( that is the solutions lies equals to or greater than the boundary line)
Therefore, the inequality 2 is y => -3.
inequality 1: y < 1
inequality 2:y => -3