Solve `6x - 7 gt 5x - 6`

Answer

To solve the inequality \( 6x - 7 > 5x - 6 \), we will follow these steps:

### Step 1: Move all terms involving \( x \) to one side
We start by subtracting \( 5x \) from both sides of the inequality:

\[ 6x - 7 - 5x > -6 \]

### Step 2: Simplify the left side
Now, we simplify the left side:

\[ (6x - 5x) - 7 > -6 \]

This simplifies to:

\[ x - 7 > -6 \]

### Step 3: Move constant terms to the other side
Next, we will add \( 7 \) to both sides to isolate \( x \):

\[ x - 7 + 7 > -6 + 7 \]

### Step 4: Simplify the right side
Now, we simplify the right side:

\[ x > 1 \]

### Final Solution
The solution to the inequality is:

\[ x > 1 \]

This means that any value of \( x \) that is greater than \( 1 \) will satisfy the inequality.

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