Question

Choose the inequality whose graph is shown.

Answer 1

Answer:

Option c

$y\leq -\sqrt{x} +1$

Step-by-step explanation:

To solve this type of problem the most efficient method is to select any point within the shaded region, for example, point (1,-1). Then introduce this point in the inequality:

$y\leq -\sqrt{x} +1$

Then we have left:

$(-1)\leq -\sqrt{1} + 1$

Note that the inequality is satisfied. $- \sqrt{1} +1 = 0$ is greater than -1

Now we take the inequality shown in option c  $y\leq -\sqrt{x} +1$ and substitute a point belonging to the curve $y = -\sqrt {x} +1$

This point is (1, 0)

$(0) \leq -\sqrt{1} +1$

$(0) \leq 0$

Note that the inequality is satisfied. Therefore the correct option is the option c