Question

For all x belongs to R the minimum value of the expression
|x-1| + lx- 3l =​

Answer 1

Step-by-step explanation:

2x-4= 2x=4

x=2

Hope it helps you

Answer 2

Minimum value of |x - 1| can be zero

Solving for

|x - 1| = 0

This equation has only one solution, x = 1

Minimum value of |x - 3| = 0

For this equation, x has only one value, x = 3

Now, for x = 1,

|x - 1| + |x - 3|

= |1 - 1| + |1 - 3|

= 0 + 2

= 2

For x = 3,

|x - 1| + |x - 3|

→ |3 - 1| + |3 - 3|

= 2 + 0

= 2

Hence, the minimum value of expression |x - 1| + |x - 3| for all x belonging to ℝ is 2.