The solution to the inequality `-5xgt4` is

Options

A. `xlt4/5`
B. `xgt-4/5`
C. `x lt -4/5`
D. `x gt4/5`

Answer

To solve the inequality \(-5x > 4\), we will follow these steps:

### Step 1: Rewrite the inequality
The given inequality is:
\[ -5x > 4 \]

### Step 2: Multiply both sides by -1
Since we are multiplying by a negative number, we must reverse the inequality sign. Thus, we multiply both sides by -1:
\[ -5x \times -1 < 4 \times -1 \]
This simplifies to:
\[ 5x < -4 \]

### Step 3: Divide both sides by 5
Now, we divide both sides of the inequality by 5:
\[ \frac{5x}{5} < \frac{-4}{5} \]
This simplifies to:
\[ x < -\frac{4}{5} \]

### Conclusion
The solution to the inequality \(-5x > 4\) is:
\[ x < -\frac{4}{5} \]