Set, Relation and FunctionEasy
Question
A natural number is selected at random from the set 1 ≤ x ≤ 100. The probability that the number satisfy the inequation x2 - 13x ≤30 is:-
Options
A.
B.
C.
D.None of these
Solution
x2 - 13x - 30 ≤ 0
(x - 15) (x + 2) ≤ 0
-2 ≤ x ≤ 15 but x∈N
so x∈[1, 15]
Probability =
(x - 15) (x + 2) ≤ 0
-2 ≤ x ≤ 15 but x∈N
so x∈[1, 15]
Probability =
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