Question

verify that a-(b-c)≠(a-b)-c if a=-1/2 b=3/4 c=-7/8​

Answer 1

Answer:

$lhs \: \: \\ a - (b - c) \\ \frac{ - 1}{2} - ( \frac{3}{4} + \frac{7}{8} ) \\ \frac{ - 1}{2} - ( \frac{6 + 7}{8} ) \\ \frac{ - 1}{2} - \frac{13}{8} \\ \frac{ - 4 - 13}{8} \\ \frac{ - 17}{8} \\ \\ \\ \\ rhs \\( a - b) - c \\ ( \frac{ - 1}{2} - \frac{3}{4} ) + \frac{7}{8} \\ ( \frac{ - 2 - 3}{4} ) + \frac{7}{8} \\ \frac{ - 5}{4} + \frac{7}{8} \\ \frac{ - 10 + 7}{8} \\ \frac{ - 3}{8} \\ lhs \: \: is \: \: not \: \: equals \: \: to \: \: rhs$

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