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Write the set (x : x in R & - 4 lt x le ...

Write the set `(x : x in R & - 4 lt x le 6)` as an interval.

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Knowledge Check

  • If |2x+5| le x+3 , then x lies in the interval :

    A
    `[-(8)/(3), -(5)/(2)]`
    B
    `[-(8)/(3), -2]`
    C
    `[-(5)/(2), -2]`
    D
    `[(5)/(2), (8)/(3)]`

  • The range of the function f(x) = sin [x], -(x)/(4) lt x lt (x)/(4) where [x] denotes the greatest integer le x , is

    A
    [0]
    B
    `[0,-1]`
    C
    `[0, +- sin1]`
    D
    `[0, -sin1]`

  • f(x) = (sqrt(1+px) - sqrt(1 - px))/(x), -1 le x le 0 = (2x + 1)/(x-2), 0 le x le 1 is continuous in the interval [-1, 1], then p is :

    A
    -1
    B
    `-(1)/(2)`
    C
    `(1)/(2)`
    D
    1

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    Show that the relation R in the set A = {x in Z : 0 le x le 12} given by R = {a , b) : |a - b| is a multiple of 4} is an equivalence relation.

    If the sum of the root of the equation cos 4x + 6+7 cos 2x in the interval [0,314] is kpi, k in R Find (k-1248)

    Write the following as intervals : {x : x ∈ R, – 4 < x ≤ 6}

    Find the intervals in the function f is given by f(x) = sin x + cos x, 0 le x le 2pi is strictly increasing or strictly decreasing.

    Which of the following pairs of sets are disjoint {1, 2, 3, 4} and { x : x is a natural number and 4 ≤ x ≤ 6 }

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