8) Simplify the expression: (x + 7) / (x + 9) and compare it with 3/4.

Solution:

• The problem presents two fractions: \(\frac{x+7}{x+9}\) and \(\frac{3}{4}\).
• There is no explicit question asking for simplification or comparison.
• However, if the intention was to check for equality, we would set up the equation:
• \(\frac{x+7}{x+9} = \frac{3}{4}\)
• Cross-multiplying gives:
• \(4(x+7) = 3(x+9)\)
• \(4x + 28 = 3x + 27\)
• \(4x - 3x = 27 - 28\)
• \(x = -1\)
• So, if \(x = -1\), the two fractions are equal.

Answer: The expression \(\frac{x+7}{x+9}\) is equal to \(\frac{3}{4}\) when \(x = -1\).