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

Toán Lớp 7: Tìm x biết : |2x – 3| > $\frac{1}{2}$

Toán Lớp 7: Tìm x biết : |2x – 3| > $\frac{1}{2}$

Comments ( 2 )

  1. Ta có :
    |2x-3| >1/2
    -> |2x-3|-1/2 >0
    +) |2x-3| = 2x -3 khi 2x -3 \ge 0 <=> x \ge 3/2
    => 2x -3 -1/2 > 0
    => x > 7/4  
    +) |2x-3| = -(2x-3) = -2x +3 khi 2x-3 < 0 <=> x <3/2
    => -2x +3 -1/2 <0
    =>x <5/4 
    Vậy x >7/4 hoặc  x<5/4    

  2. |2x-3|>1/2
    =>$\left[\begin{matrix} 2x-3 < -\dfrac{1}{2} \\ 2x-3 >\dfrac{1}{2} \end{matrix}\right.$
    =>$\left[\begin{matrix} 2x<\dfrac{5}{2} \\ 2x>\dfrac{7}{2} \end{matrix}\right.$
    =>$\left[\begin{matrix} x<\dfrac{5}{4} \\ x>\dfrac{7}{4} \end{matrix}\right.$
    Vậy x<5/4 hoặc x>7/4
     

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

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