Statement `4x-3ge10`is__________

Answer

To solve the inequality \( 4x - 3 \geq 10 \), we will follow these steps:

### Step 1: Rewrite the Inequality
We start with the given inequality:
\[ 4x - 3 \geq 10 \]

### Step 2: Add 3 to Both Sides
To isolate the term with \( x \), we will add 3 to both sides of the inequality:
\[ 4x - 3 + 3 \geq 10 + 3 \]
This simplifies to:
\[ 4x \geq 13 \]

### Step 3: Divide by 4
Next, we divide both sides of the inequality by 4 to solve for \( x \):
\[ \frac{4x}{4} \geq \frac{13}{4} \]
This simplifies to:
\[ x \geq \frac{13}{4} \]

### Step 4: Convert to Decimal (if necessary)
To express \( \frac{13}{4} \) in decimal form, we can perform the division:
\[ \frac{13}{4} = 3.25 \]
Thus, we can also write the solution as:
\[ x \geq 3.25 \]

### Conclusion
The statement \( 4x - 3 \geq 10 \) indicates that \( x \) must be greater than or equal to \( 3.25 \).

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