Question

Which of the points are solutions to the inequality?

Check all that apply.

(-3, 3)

(-2,-2)

(-1,1)

(0,1)

(2,5)

Answer 1

Answer:

(0,1) and (2,5).

Step-by-step explanation:

The graph of the inequality is attached.

Remember, a solution of an inequality is a point on the shaded region. Also, it must satisfy the inequality expression

$y<2x+3$

From the graph we know the possible answers are (0, 1) and (2, 5), let's prove it.

For (0, 1):

$1<2(0)+3\\1<3$

Which is true, so (0, 1) is solution.

For (2, 5):

$5<2(2)+3\\5<4+3\\5<7$

Which is true, so (2, 5) is solution.

Therefore, the solutions are (0,1) and (2,5).