Evaluate (2*3)*4 for a*b = 3a – b

Question:

If \( a * b = 3a – b \), find:

\[ (2 * 3) * 4 \]

Options:

  • (a) 2
  • (b) 3
  • (c) 4
  • (d) 5

Solution:

Step 1: Compute \( 2 * 3 \)

\[ 2 * 3 = 3(2) – 3 = 6 – 3 = 3 \]

Step 2: Compute \( 3 * 4 \)

\[ 3 * 4 = 3(3) – 4 = 9 – 4 = 5 \]

Final Answer:

\[ \boxed{5} \]

Correct Option: (d)

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