Question

{y≤ -3x+5

{8x-4y<24
(a) Graph the system of inequalities
(b) Name a point (as an ordered pair) that is a solution to both inequalities.
(c) Name a point (as an ordered pair) that is not a solution to either inequality.
(d) Name a point (as an ordered pair) that is a solution to the first inequality, but not the second.

Answer 1

a.) for the first inequality the ordered pairs are (0,5) and (1,2) and for the second, the ordered pairs are (0,-6) and (1,-4).

b.) (0,7) is the solution for both inequalities.

c). (0,6) is not a solution to either.

d.) (0,0) is a solution for the first inequality, but not the second.

Answer 2

A.) For the first inequality (y<=-3x+5) the ordered pairs are (0,5) and (1,2).

For the second inequality(8x-4y<24) the ordered pairs are (0,-6) and (1,-4).

B. (0,-7) is a solution to both inequalities.

C. (0,6) is not a solution to either inequality.

D. (0,0) is a solution for the first inequality, but not the second inequality.