Verify that ( X + Y) -1 ≠ X -1 + Y -1 by taking X = and Y = −2/ 7; 1 /3
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(x+Y)-1
(-2/7 +1/3) -1
(-6+7)/21-1
1/21-1
(1-21)/21=20/21
X-1+Y-1
-2/7 - 1 + 1/3 - 1
(-2-7)/7 +(1-3)/3
-9/7-2/3
(-27-14)/21
-41/21
Hence,20/21 is not equal to -41/21
Step-by-step explanation:
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