Question

The number of solutions of |x - 1| + |x - 3| = 2 is​

Answer 1

Hope my answer helped u :)

Answer 2

There are 3 intervals as following:

x ≤ 1

• -(x - 1) - (x - 3) = 2
• -2x + 4 = 2
• 2x = 2
• x = 1

1 ≤ x ≤3

• (x - 1) - (x - 3) = 2
• 2 = 2,
• any value of x in the same interval

x ≥ 3

• (x - 1) + (x - 3) = 2
• 2x - 4 = 2
• 2x = 6
• x = 3

Combining the all, we get:

• 1 ≤ x ≤3 or
• x = [1, 3]