Question

step 1: 4x + 5 < 6x + 1 (given)
step 2: -2x + 5 < 1 (subtraction)
step 3: -2x < 6 (addition)
step 4: x > -3 (division)
mia is trying to find her mistake in the problem shown. in which step did she first make a mistake?
a step 1
b step 2
c step 3
d step 4

Explanation:

Step1: Analyze Step 1

Given inequality $4x + 5<6x + 1$, no error.

Step2: Analyze Step 2

Subtract $6x$ from both sides: $4x-6x + 5<6x-6x + 1$, which simplifies to $-2x + 5<1$, no error.

Step3: Analyze Step 3

To get from $-2x + 5<1$ to isolate the $x$ - term, we should subtract 5 from both sides.
$-2x+5 - 5<1 - 5$, so $-2x<-4$. But Mia added 1 to both sides instead of subtracting 5, which is an error.

Answer:

C. Step 3