Question

Graph the system of inequalities. Then use your graph to identify the point that represents a solution to the system. x < 2 and y ≤ 4x + 1

(5, 6)


(5, –2)

(–3, –15)


(1, 11)

Answer 1

We want to solve the inequalities
x < 2
y ≤ 4x + 1

Graph the lines:
x = 2
y = 4x +1

The solution to the system of inequalities is the shaded region shown in the graph below.

Test the given points to see whether they fall within the solution region.

Point Pass/Fail
-------- --------------
(5,6) Fail
(5,-2) Fail
(-3,-15) Pass
(1,11) Fail

Answer: (=3, -15)