Question

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

|2x – 1| + 3 < 6
|2x – 1| + 3 – 3 < 6 – 3
|2x – 1| < 3
–3 < 2x – 1 or 2x – 1 < 3
–2 < 2x or 2x < 4
–1 < x or x < 2

Where did Kim go wrong? Explain your reasoning.
A.
Kim should have isolated the absolute value before writing the compound inequality.
B.
Kim should have used –3 > 2x –1 rather than –3 < 2x –1.
C.
Kim should have used "and" instead of "or" in her compound inequality.
D.
Kim should have reversed the inequality symbol when solving 2x > –2.

Answer 1

so, do you see anything wrong there?