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The set {x in R : 1 le x lt 2} be writ...

The set ` {x in R : 1 le x lt 2}` be written as `"……………"` .

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The set `{x in R : le x le 2}` can be written as `{1,2}`
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Knowledge Check

  • The set of values of x satisfying 2 le|x-3|lt 4 is

    A
    `(-1,1]uu[5,7)`
    B
    `-4lexle2`
    C
    `-1 lt x lt7 `or` x ge5`
    D
    `x lt7 `or`x ge 5`

  • The set of values of x satisfying 2 le abs x-3 lt 4 is

    A
    (-1, 1] cup[5,7)`
    B
    `-4 le x le 2`
    C
    `-1 lt x lt 7 or x ge 5`
    D
    `x lt 7 or x ge 5`

  • If A = {x in R : 0 lt x lt 1} and B = {x in R : -1 lt x lt 1} , then A xx B is the set of all points lying

    A
    inside the rectangle having vertices at (1, 1), (0, 1), (0, -1) and (1, -1)
    B
    inside the rectangle having vertices at (1, 0), (1, 1), (0, 1) and (0, 0)
    C
    on the sides of the rectangle whose vertices are at (1, 1), (0, 1), (0, -1) and (1, -1)
    D
    inside or on the sides of the rectangle whose vertices are at (1, 1), (0, 1), (0, -1) and (1, -1)

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    Express each of the following sts as an interval : (i) A={x:x in R, -4 , lt x lt 0} (ii) B={x:x in R, 0 le x lt 3} (iii) C= {x:x in R, 2 lt x le 6} (iv) D= {x:x in R, -5 le x le 2 } (v) E= {x:x in R, -3 le x lt2) (vi) F={x:x in R, -2, le x lt 0}

    Write the following as intervals : (i) {x : x in R, -4 lt x le 6} (ii) {x : x in R, -12 lt x lt -10} (iii) {x : x in R, 0 le x lt 7} (iv) {x : x in R, 3 le x le 4} .

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    The solution set of (1)/(4) + (1)/(x) lt (1)/(2) + (1)/(3) , when x in R , is :

    If f(x)={:{(x-1", for " 1 le x lt 2),(2x+3", for " 2 le x le 3):} , then at x=2

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