- #1
Helly123
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Homework Statement
|x-2| < a is a necessary condition for x^2 -3x -10 < 10 . What is the range value of a?
|x-2| < a is a sufficient condition for x^2 -3x -10 < 10. What is the range value of a?[/B]
The options are
a>= 4
a>=3
0<a<=2
0<a<=3
0<a<=5
The Attempt at a Solution
Range of x for x^2 -3x -10 < 0
2<x<5
And
|x-2| < a
Range of a is 0 < a < 3
Necessary = 0<a<=3
What is the necessary and sufficient conditions?
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