- #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

And

**x^2 -3x -10 < 0**

2<x<5

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?

Range of a is 0 < a < 3

Necessary = 0<a<=3

What is the necessary and sufficient conditions?

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