If |a| denotes the absolute value of an integer, then which of the following are correct? 1. |ab| = |a| |b| 2. |a + b| ≤ |a| + |b| 3. |a - b| ≥ ||a| - |b|| Select the correct answer using the code given below.

If |a| denotes the absolute value of an integer, then which of the following are correct? 1. |ab| = |a| |b| 2. |a + b| ≤ |a| + |b| 3. |a - b| ≥ ||a| - |b|| Select the correct answer using the code given below. Correct Answer 1, 2 and 3

CONCEPT:

PROPERTIES OF MODULUS FUNCTION:

1. |ab| = |a||b|
2. |a + b| ≤ |a| + |b|
3. |a - b| ≥ ||a| - |b||

EXPLANATION:

Given that,

Statement 1: |ab| = |a||b|

⇒ From the properties of Modulus Function, it is clear that Statement 1 is true.

Statement 2: |a + b|

⇒ From the properties of Modulus Function, it is clear that Statement 2 is true.

Statement 3: |a - b|

⇒ From the properties of Modulus Function, it is clear that Statement 3 is true.