Which of the following is a solution of y + x < -5?
(-4, -2)
(-3, -2)
(-2, -3)
(-1, -3)

(-4, -2)

Step-by-step explanation:

To find if a point is a solution (or verifies) an inequation (or an equation), you simply have to enter the given values in it and see if it's true.

Let's try with all the 4 given choices:

(-4, -2)  

y + x < -5

-4 - 2 < -5

-6 < -5 TRUE

(-3, -2)

y + x < -5

-3 - 2 < -5

-5 < -5 FALSE

(-2, -3)

-2 - 3 < -5

-5 < -5 FALSE

(-1, -3)

-1 - 3 < -5

-4 < -5 FALSE

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral