SOLUTION: solve this inequality, (x + 3)(x -4) < 7, and explain why it is incorrect
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Question 969305: solve this inequality, (x + 3)(x -4) < 7, and explain why it is incorrect
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
(x\,-\,4)\ <\ 7)
\ \pm\ \sqrt{(-1)^2\ -\ 4(1)(-19)}}{2(1)}\ =\ \frac{1\ \pm\ \sqrt{77}}{2})
Divide the 
-axis into three regions:
)
)
)
Pick a value from each interval: -4, 0, and 5 will do nicely.
Test each value in the original inequality:
(-4\,-\,4)\ =\ 8\ <\ 7)
Is a False statement.
(0\,-\,4)\ =\ -12 <\ 7)
Is a True statement.
(5\,-\,4)\ =\ 8\ <\ 7)
Is a False statement.
Hence, the inequality is true for values of in the interval
Therefore, the solution set of the inequality is
John
My calculator said it, I believe it, that settles it
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