Question

Define (x△ y) to mean 2x − 3y. Evaluate ((4 △ 3) △ (5 △ 3)).

Answer 1

((4∆3)∆(5∆3))=-5

Explanation:

x∆y=2x-3y

((4∆3)∆(5∆3))

4∆3=2(4)-3(3)

=8-9 = -1

5∆3=2(5)-3(3)

=10-9 = 1

-1∆1=2(-1)-3(1)

= -2-3 = -5

Answer 2

-5

Explanation:

(x△ y) to mean 2x − 3y

-------

((4 △ 3) △ (5 △ 3))= ((2*4- 3*3)△(2*5- 3*3)= -1△1= 2*(-1)- 3*1= -2-3= -5