Question

Irene made a mistake when she solved this inequality:

Step 1: -6(x + 3) + 10 < -2
Step 2: -6x − 18 + 10 < -2
Step 3: -6x − 8 < -2
Step 4: -6x < 6
Step 5: x < -1

Between which two consecutive steps did Irene make a mistake?

Answer 1

Step-by-step explanation:

$Step 1: -6(x + 3) + 10 < -2 \\ Step 2: -6x − 18 + 10 < -2 \\ Step 3: -6x − 8 < -2 \\ Step 4: -6x < 6 \\ Step 5: \boxed{x > -1}$

When you multiply by negative number you must flip the inequality...