If `2lt20x-13lt3`,what is one possible value for x?

Answer

To solve the inequality \(2 < 20x - 13 < 3\), we will break it down step by step.

### Step 1: Write down the inequality
We start with the given inequality:
\[ 2 < 20x - 13 < 3 \]

### Step 2: Add 13 to all parts of the inequality
To isolate the term containing \(x\), we add 13 to all three parts of the inequality:
\[ 2 + 13 < 20x - 13 + 13 < 3 + 13 \]
This simplifies to:
\[ 15 < 20x < 16 \]

### Step 3: Divide the entire inequality by 20
Next, we divide all parts of the inequality by 20 to solve for \(x\):
\[ \frac{15}{20} < x < \frac{16}{20} \]
This simplifies to:
\[ 0.75 < x < 0.8 \]

### Step 4: Write the solution in interval notation
The solution indicates that \(x\) lies in the interval:
\[ (0.75, 0.8) \]

### Step 5: Choose a possible value for \(x\)
Since \(x\) can take any value between 0.75 and 0.8, one possible value for \(x\) could be:
\[ x = 0.76 \]

### Final Answer
One possible value for \(x\) is:
\[ \boxed{0.76} \]