Question

Find and correct the error. x4+6>3 x+6>12 x>6 (1 point) Responses 6 should have been subtracted first before multiplying by 4 - the true answer should be x > -12 6 should have been subtracted first before multiplying by 4 - the true answer should be x > -12 With inequalities you always flip the symbol at the end - the true answer should be x < 6 With inequalities you always flip the symbol at the end - the true answer should be x < 6 6 should have been subtracted first before multiplying by 4 - the true answer should be x > -3/4 6 should have been subtracted first before multiplying by 4 - the true answer should be x > -3/4 6 should have been added first before multiplying by 4 - the true answer should be x > 36

Answer 1

Let's examine the inequality step by step to identify the error.

The original inequality given is:

\(4x + 6 > 3\)

1. **Subtract 6 from both sides**:
\[
4x + 6 - 6 > 3 - 6
\]
\[
4x > -3
\]

2. **Divide both sides by 4**:
\[
x > -\frac{3}{4}
\]

So, the correct answer is \(x > -\frac{3}{4}\).

Now let's match this with the given responses. The correct answer you are looking for should be:

- "6 should have been subtracted first before multiplying by 4 - the true answer should be x > -3/4"

Thus, this response identifies the correct interpretation of the steps taken in the inequality.