SOLUTION: If a&#916;b means {{{ 2ab+5 }}} when a < b and 2b - a when {{{ a >= b}}} , evaluate (3&#916;9)&#916;5.

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Question 1050567: If aΔb means when a < b and 2b - a when , evaluate (3Δ9)Δ5.
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
If aΔb means 2ab+5 when a < b and 2b-a when a>=b , evaluate (3Δ9)Δ5.

First we do what's in the parentheses, which is 3Δ9

3Δ9 a case of aΔb when a < b since a=3 < b=9, so we use 2ab+5,
and get 2(3)(9)+5 = 59

So we replace the (3Δ9) by 59 in (3Δ9)Δ5 and have 59Δ5

59Δ5 a case of aΔb when a ≥ b since a=59 ≥ b=5, so we use 2b-a,
and get 2(5)-59 = 10-59 = -49.

Edwin



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