For any two numbers a and b, the operation ‘Δ’ is defined as a Δ b = 2a – b. What is the value of (5 Δ 3) Δ (4 Δ 6)?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 12
Work out each bracket first with the rule a Δ b = 2a – b, then apply the rule once more to the two results.
5 Δ 3 \(=2\times5-3=7\)
4 Δ 6 \(=2\times4-6=2\)
7 Δ 2 \(=2\times7-2=12\)