Question
State whether the following statements are True or False. Give reason in support of your answer:
(a) Intersection of set of rational and irrational numbers is non-empty.
(b) The function |x-2| is differentiable everywhere on the real line.
(c) The trace of the matrix is 130.
(d) Six persons can sit on six chairs placed around a circular table in 120 numbers of ways.
(e) The range of the data shown in the 60-70frequency distribution is 70.
| Classes | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 |
| Frequencies | 2 | 7 | 3 | 8 | 4 | 1 | 0 |
Answer :
Word Count : 295
a) False, Set of rational numbers (Q) & set of irrational numbers (I) are disjoint sets. Their intersection is empty set. And their union is set of real numbers.
b) True,
Let's calculate the limit for |x-2| at the value 0:
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