Question

if x is real number and Mod X is less than 3 then what is answer ​

Answer 1

Step-by-step explanation:

X is a real number

|x|<3

Then,x:

|x|<3

Therefore,x<+3,-3

Hence,x-3<0

And,x+3<0

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Answer 2

The answer is –3 < x < 3.

Explanation:

Definition of absolute value inequality:

If |x| < a then –a < x < a.

If |x| ≤ a then –a ≤ x ≤ a.

Given data:

x is a real number.

So x can be a integer and rational number.

Mod x less than 3

i.e., |x| < 3.

By the definition of inequality,

If |x| < a then –a < x < a.

Here a is 3.

If |x| < 3 then –3 < x < 3.

Hence x lies between –3 and 3.

The answer is –3 < x < 3.

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