Question

Determine which one of the ordered pairs below is a solution of the system of linear inequalities.
x>-3
y>-1
y≤4-(2x/3)

a. (-1,-9)
b. (-7,-9)
c. (2, 2)
d. (-1, 5)
e. (3, -3)

Answer 1

This one will probably take the least effort to just take it logically by elimination.

Look at x>-3. How many of your answers do not have an x value greater than -3? Those are gone.

Look at y>-1, how many of the answers do not have a y coordinate greater than -1? Those are gone too.

Finally, what coordinate has a y value less than equal to 4 minus double the x divided by three?

That is your answer.

Answer 2

First test: B is immediately eliminated. X is not greater than -3.
Second test: A and E are eliminated. Y is not greater than -1.

Answer 3

Left with: C and D

Answer 4

Final test: Plug in C and D's X and Y values, evaluate. Answer.

Answer 5

so I think my answer is d then

Answer 6

no wait it would be c because 2≤2.67