Question

Kim is solving the absolute value inequality |2x – 1| + 3 < 6

Answer 1

2x-1+3 < 6
       +1 < +1
  2x+3 < 7
       -3 < -3
      2x < 4
       /2 < /2
        x < 2

Answer 2

Answer:

x < 2.

Step-by-step explanation:

Given  :  |2x – 1| + 3 < 6

To find : Solve .

Solution : We have given that

|2x – 1| + 3 < 6

Removing modulus

2x - 1 + 3 < 6.

2x + 2 < 6.

On subtracting by 2 both sides.,

2x < 6 -2 .

2x < 4.

On dividing both sides by 2

x < 2.

Therefore, x < 2.