cho A = f aeRI-3 sRxds5} -3 s2x-d s5 x -174x-54 20 Tim AnB,A UB, A \B, CR CB\A)

Question

cho A = f aeRI-3 sRxds5}
-3 s2x-d s5
x -174x-54
20
Tim AnB,A UB, A \B, CR CB\A)

cho-a-f-aeri-3-srds5-3-s2-d-s5-174-54-20-tim-anb-a-ub-a-b-cr-cb-a

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Acacia 6 years 2020-11-24T10:02:03+00:00 2 Answers 78 views 0

Answers ( )

  1. Tryphena
    0
    2020-11-24T10:03:18+00:00
    Reply

    $-3\le 2x-1\le 3$

    $\Leftrightarrow -2\le 2x\le 4$

    $\Leftrightarrow -1\le x\le 2$

    $\Rightarrow A=[-1;2]$

    $x-1>4x-5$

    $\Leftrightarrow x-4x>-5+1$

    $\Leftrightarrow -3x>-4$

    $\Leftrightarrow x<\dfrac{4}{3}$

    $\Rightarrow B=(-\infty;\dfrac{4}{3})$

    Suy ra:

    $A\cap B=[-1;\dfrac{4}{3})$

    $A\cup B=(-\infty;2]$ 

    $A$ \ $B=[\dfrac{4}{3};2]$

    $B$ \ $A=(-\infty;-1)$

    $\Rightarrow C_{\mathbb{R}}(B$ \ $A)=[-1;+\infty)$

  2. King
    0
    2020-11-24T10:03:58+00:00
    Reply

    `-3 ≤ 2x – 1 ≤ 3`

    `<=> -2 ≤ 2x ≤ 4`

    `<=> -1 ≤ x ≤ 2`

    `=> A = [-1; 2]`

    `x – 1 > 4x – 5`

    `<=> -3x > -4`

    `<=> x < 4/3`

    `=> B = (-∞; 4/3)`

    Vậy: 

    `A ∩ B = [-1; 4/3)`

    `A ∪ B = (-∞; 2]`

    `A` \ `B = [4/3; 2]`

    `B` \ `A = (-∞; -1)`

    `C_{R}(B` \ `A) = [-1; +∞)`

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