Question

Select the order PAIR(S) that are solutions to this system of inequalities:

y ≤ 3

y > -x + 1


A. (0, 0)


B. (2, 2)


C. (-1, 3) <----- my only answer is it correct? or is there something else?


D. (5, -1)

Answer 1

Any answer choice you make must satisfy the system of inequalities

y ≤ 3

y > -x + 1.  

If you believe that (-1,3) satisfies both inequalities, check this by substitution into the inequalities:

In (-1,3), y=3.  Is the inequality y ≤ 3 true for y=3?  YES

In (-1,3), x = -1.  Is the inequality   3 > -(-1)+1 true?  Is 3>2 true?  YES

So (-1,3) satisfies both inequalities.  You must go thru the same process to check the other possible answers; there may be more than one answer.