Find and correct the error.

Question

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

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 added first before multiplying by 4 - the true answer should be x > 36
6 should have been added first before multiplying by 4 - the true answer should be x > 36

6 should have been subtracted first before multiplying by 4 - the true answer should be x > -12

Answer 1

Let's review the steps given:

1. Starting with the inequality: \[ \frac{x}{4} + 6 > 3 \]

2. First, we subtract 6 from both sides: \[ \frac{x}{4} > 3 - 6 \] \[ \frac{x}{4} > -3 \]

3. Next, we multiply both sides by 4 to solve for \(x\). Since we are multiplying by a positive number, the inequality remains the same: \[ x > -12 \]

So the correct interpretation of the steps shows that the original inequality simplifies to: \[ x > -12 \]

Thus, among the provided responses, the correct answer is: 6 should have been subtracted first before multiplying by 4 - the true answer should be x > -12.