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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 7: tìm x ∈ z biết 1/2-(1/3+3/4) ≤x ≤ 1/24 -(1/8-1/3)

Toán Lớp 7: tìm x ∈ z biết
1/2-(1/3+3/4) ≤x ≤ 1/24 -(1/8-1/3)

Comments ( 2 )

  1. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    1/2-(1/3+3/4) ≤x ≤ 1/24 -(1/8-1/3)
    Ta có :
    1/2-(1/3+3/4) 
    = 1/2-(4/12+9/12)
    = 1/2-13/12
    = -7/12
                                        
    1/24-(1/8-1/3)
    = 1/24-(3/24-8/24)
    = 1/24 + 5/24
    = 3/12
    ⇒ -7/12 < x < 3/12
    ⇒ x = −7;−6;−5;…;0
    ⇒ x ∈ {−7;−6;−5;…;0}

  2. 1/2 – (1/3 + 3/4) \le x \le 1/24 – (1/8 – 1/3)
    VT = 1/2 – (1/3 + 3/4)
    VT = 1/2 – 1/3 – 3/4
    VT = 6/12 – 4/12 – 9/12
    VT = {6-4-9}/12
    VT = -7/12
    ————————
    VP = 1/24 – (1/8 – 1/3)
    VP = 1/24 – 1/8 + 1/3
    VP = 1/24 – 3/24 + 8/24
    VP = {1-3+8}/24
    VP = 6/24
    VP = 1/4
    $\text{Ta có:}$
    1/4 = {1 xx 3}/{4 xx 3} = 3/12
    $\Rightarrow$ -7/12 \le x \le 3/12
    $\text{Vì}$ x \in \mathbb{Z}
    $\Leftrightarrow$ x = -7 ; -6; -5 ;…; 2 ; 3
    $\text{Vậy}$ x \in {-7 ; -6; -5 ;…; 2 ; 3}

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222-9+11+12:2*14+14 = ? ( )

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