step 1: 4x + 5 < 6x + 1 (given)\nstep 2: -2x + 5 < 1 (subtraction)\nstep 3: -2x < 6 (addition)\nstep 4: x >…

step 1: 4x + 5 < 6x + 1 (given)\nstep 2: -2x + 5 < 1 (subtraction)\nstep 3: -2x < 6 (addition)\nstep 4: x > -3 (division)\nmia is trying to find her mistake in the problem shown. in which step did she first make a mistake?\na step 1\nb step 2\nc step 3\nd step 4

step 1: 4x + 5 < 6x + 1 (given)\nstep 2: -2x + 5 < 1 (subtraction)\nstep 3: -2x < 6 (addition)\nstep 4: x > -3 (division)\nmia is trying to find her mistake in the problem shown. in which step did she first make a mistake?\na step 1\nb step 2\nc step 3\nd step 4

Answer

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 gives $-2x + 5<1$, no error.

Step3: Analyze Step 3

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

Step4: Analyze Step 4

If the correct inequality was $-2x<-4$, dividing both sides by - 2 (and reversing the inequality sign) gives $x > 2$. But since Step 3 was wrong, we focus on Step 3 as the first - wrong step.

Answer:

C. Step 3