Correct Answer - Option 1 : 1/5
Calculation:
Modulus (2a - 3) = |2a - 3| = 3a + 2
Two possible cases for modulus functions:
Case 1: 2a - 3 > 0
⇒ a > (3/2) ----(1)
2a - 3 = 3a + 2
⇒ a = -5
As the value is not possible according to the condition in (1) the given case is not possible.
Case 2: 2a - 3 < 0
⇒ a < (3/2) ----(2)
-(2a - 3) = 3a + 2
⇒ a = (1/5)
As we can see the value is possible according to the given condition of (2), hence, the given case is possible.
∴ The value of a is (1/5).
Modulus function f(x) = |x| is defined as:
|x| = x, for x > 0
|x| = (-x), for x < 0
