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

x < 2.

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.