Question

solve the inequality 7/2>47/10

Answer 1

To solve the inequality \(\frac{7}{2} > \frac{47}{10}\), we can start by expressing both fractions with a common denominator or converting them to decimal form.

**Step 1: Convert to a common denominator.**

The least common multiple of the denominators 2 and 10 is 10.

- Convert \(\frac{7}{2}\) to have a denominator of 10:
\[
\frac{7}{2} = \frac{7 \times 5}{2 \times 5} = \frac{35}{10}
\]

**Step 2: Compare the two fractions.**

Now we compare:
\[
\frac{35}{10} > \frac{47}{10}
\]

Since the denominators are the same, we can compare the numerators directly:
\[
35 > 47
\]

This statement is false.

**Conclusion:**
The inequality \(\frac{7}{2} > \frac{47}{10}\) is **not true**. Therefore, the solution to the inequality is that it does not hold.

If you need to express it in terms of \(x\) or any other variable, there is no solution for the inequality as stated.