Question

4/7x - 2/7> 5/7. Make sure your answer is a mixed number.

Answer 1

yo what the heck where in the world did you get 7/4

Answer 2

did you like flip 4/7 or smth

Answer 3

bruh these bots are stuuupidd

Answer 4

the answer is right tho, so i guess next time ill just flip the 4/7 if there is one. idk but these bots be teaching better than the teachers themself

Answer 5

To solve the inequality \( \frac{4}{7}x - \frac{2}{7} > \frac{5}{7} \), we will follow these steps:

1. **Add \( \frac{2}{7} \) to both sides**:
\[
\frac{4}{7}x > \frac{5}{7} + \frac{2}{7}
\]
Combining the fractions on the right:
\[
\frac{4}{7}x > \frac{7}{7}
\]

2. **Simplify \( \frac{7}{7} \)**:
\[
\frac{4}{7}x > 1
\]

3. **Multiply both sides by \( \frac{7}{4} \) to solve for \( x \)** (note that since \( \frac{7}{4} \) is positive, the inequality direction does not change):
\[
x > 1 \cdot \frac{7}{4}
\]
\[
x > \frac{7}{4}
\]

4. **Convert \( \frac{7}{4} \) to a mixed number**:
\[
\frac{7}{4} = 1 \frac{3}{4}
\]

Thus, the solution to the inequality \( \frac{4}{7}x - \frac{2}{7} > \frac{5}{7} \) is:
\[
x > 1 \frac{3}{4}
\]