SOLUTION: What is the solution set for the system of inequalities 3X2-4X-5 < Y and 4X+3Y< 2?
A. -1 < X < 2
B. -1 < X < 17/9
C. -0.79 < X < 2.12
D. -1 < X < 0.5
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Question 696476: What is the solution set for the system of inequalities 3X2-4X-5 < Y and 4X+3Y< 2?
A. -1 < X < 2
B. -1 < X < 17/9
C. -0.79 < X < 2.12
D. -1 < X < 0.5
Found 2 solutions by MathLover1, SkinnyPrincess:
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
.......1.... and
..............2
______________________
.......1.set
..solve as equation to find
solutions:
so,
..............2..set
system solution is
C.
Answer by SkinnyPrincess(1) (Show Source): You can put this solution on YOUR website!
This is a wrong answer. According to teacherstestprep.com , CSET Math practice test #9, the answer should be B) -1 < X < 17/9
Whoever answered earlier had the 2nd equation mixed up 4X+3Y< 2 ==> when y = 0, x < 1/2 (NOT x > 1/2, not important) . And, the slope of 2nd equation should be negative, so the graph is wrong.
in order to find the X values when Y values are same ==> combine 2 equations together 4x + 3(3X^2-4X-5) = 2
simplify to 9X^2 - 8x - 17 = 0
(x + 1)(9x - 17) = 0
x = -1 and 17/9
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