11) Simplify the expression: 3 / (x - 7) and compare it with 2 / (4 - x).

Solution:

• The problem presents two fractions: \(\frac{3}{x-7}\) and \(\frac{2}{4-x}\).
• If the intention is to find when these two fractions are equal, we set up the equation:
• \(\frac{3}{x-7} = \frac{2}{4-x}\)
• Cross-multiplying gives:
• \(3(4-x) = 2(x-7)\)
• \(12 - 3x = 2x - 14\)
• \(12 + 14 = 2x + 3x\)
• \(26 = 5x\)
• \(x = \frac{26}{5}\)

Answer: The expression \(\frac{3}{x-7}\) is equal to \(\frac{2}{4-x}\) when \(x = \frac{26}{5}\).