Question

Select the correct inequality for the graph below:

y > −2x + 2
y ≥ −2x + 2
y < −2x + 2
y ≤ −2x + 2

Answer 1

y is less than or equal to -2x+2 so the last one

Answer 2

Answer with Step-by-step explanation:

As we can see the point (0,0) lies in the shaded region

So, it must satisfy the inequality

The point (0,0) do not satisfy the inequality

y > −2x + 2

and y ≥ −2x + 2

So, these two options are incorrect

(1,0) lies in he shaded region

So, it must satisfy the inequality

y < −2x + 2 do not satisfy the point (1,0)

So, this option is incorrect

Now, we are left with only one option

Hence, Correct answer is:

y ≤ −2x + 2