To find the mistake, we need to carefully analyze each step one by one and see if the transformation made is correct.
Step 1: 4x + 5 < 6x + 1 (Given)
Step 2: -2x + 5 < 1 (Subtraction: subtracting 6x from both sides)
Step 3: -2x < 6 (Addition: subtracting 5 from both sides)
Step 4: x > -3 (Division: dividing both sides by -2)
To determine the mistake, let's work through the problem again:
Starting with Step 1: 4x + 5 < 6x + 1
Let's subtract 4x from both sides: 5 < 2x + 1
Now, let's subtract 1 from both sides: 4 < 2x
Next, we divide both sides by 2, it should look like this: 2 < x
However, in Step 3, Mia mistakenly subtracted 5 from both sides instead of subtracting 4x from both sides. This mistake caused a wrong equation in Step 4.
Therefore, the mistake Mia made was in Step 3.
The correct answer is:
C. Step 3.