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Absolute value is the numerical value irrespective of the sign. If we consider a number line, it is the distance on a number line without considering the direction.

Absolute value of -2 is 2.

NOTE:

- An absolute value function is differentiable everywhere except at 0
- In the interval (-∞,0] the absolute value function is monotonically decreasing where as in the interval [0, ∞) it is monotonically increasing.
- It is an even function because a positive and negative number has the same absolute value.

1) abs(29) is

(a) 29 (b) -29 (c) 0 (d) undefined

2) |6 – 9| and |9 – 6|

(a) 3 and -3 (b) -3 and 3 (c) -3 and -3 (d) 3 and 3

3) |-3 x 7| and - |-12|

(a) 21 and 12 (b) -21 and -12 (c) -12 and 12 (d) 21 and -12

4) abs(0)

(a) Neither negative nor positive (b) 0 (c) Undefined (d) Either positive or negative

5) Place the correct inequality |- 9|---------- |-12|

(a) > (b) = (c) < (d) <=