a, |5x-3|< 2 b, |3x+1| > 4 c, |4-x|+2x = 3

Question

a, |5x-3|< 2 b, |3x+1| > 4
c, |4-x|+2x = 3

in progress 0
Adalyn 56 phút 2021-10-08T07:34:42+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-10-08T07:35:47+00:00

    Đáp án:

     

    Giải thích các bước giải:

    $a.TH1:|5x – 3|< 2$ 

    ⇒$5x – 3<2$

    ⇒$5x<5$

    ⇒$x<\frac{1}{5}$

    TH2:$|5x-3|<-2$

    ⇒$5x-3<-2$

    ⇒$5x<-1$

    $⇒x<\frac{-1}{5}$

    $b,

    Th1:|3x +1| >4$

    ⇒$3x+1>4$

    ⇒$3x>3$

    ⇒$x>1$

    Th2:

    $|3x+1|>4$

    ⇒$3x+1>-4$

    ⇒$3x>-5$
    c,

    TH1:$|4- x| + 2x = 3$
    ⇔$4-x +2x =3$

    ⇔$4-x=3$

    ⇒$x=1$
    TH2:$|4-x|+2x=3$

    ⇔$4-x+2x=-3$ 

    ⇔$4-x=-3$

    ⇔$x=-7$

    Vậy $x=1$ hoặc $x=-1$

    @hoangminh

Leave an answer

Browse

35:5x4+1-9:3 = ? ( )