Question

The graph below shows the solution to which set of inequalities?

Answer 1

I think it is b but im not sure

Answer 2

First we have to find the equations of the lines in question.

For the horizontal line, it's equation is y = 1, as it crosses the y-axis at 1.

For the oblique line, it's equation is y = x, as it passes through the origin with a slope of 1.

Now we get to the inequalities; if the line is dashed, it is either < or >. If the line is solid, it is either ≤ or ≥.

So for the line y = 1, it must be either < or >. And we see that the shaded area is under the line, therefore y must be less than 1. So we can definitely say that the equation for the horizontal line is: y < 1.

For the line y = x, it is solid, so it must be either ≤ or ≥. And we see that the shaded area is above the line, so we know that y must be greater than or equal to x. So we can then definitely say the equation for this oblique line is: y ≥ x.

So the two equations are: y < 1 and y ≥ x or B.