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a) \(A=\left|x-3,5\right|+\left|4,1-x\right|\)
do \(3,5\le x\le4,1\) \(\Rightarrow\)\(x-3,5\ge0;\) \(4,1-x\ge0\)
\(\Leftrightarrow\)\(\left|x-3,5\right|=x-3,5;\) \(\left|4,1-x\right|=4,1-x\)
\(A=x-3,5+4,1-x=0,6\)
b) bạn làm tương tự
a: \(=\left(-4.1-5.9\right)+\left(-13.7-6.3\right)+31\)
=31-10-20
=1
b: \(=-50\cdot0.02\cdot0.5\cdot0.2\cdot5\cdot2\)
\(=-1\cdot0.1\cdot10=-1\cdot1=-1\)
c: \(=\left(9-4.1\right)+\left(-3.6-1.3\right)\)
=4,9-4,9
=0
b: \(\left|x-\dfrac{3}{5}\right|< \dfrac{1}{3}\)
\(\Leftrightarrow\left\{{}\begin{matrix}x-\dfrac{3}{5}>-\dfrac{1}{3}\\x-\dfrac{3}{5}< \dfrac{1}{3}\end{matrix}\right.\Leftrightarrow\dfrac{4}{15}< x< \dfrac{14}{15}\)
c: \(\left|x+\dfrac{11}{2}\right|>-5.5\)
mà \(\left|x+\dfrac{11}{2}\right|\ge0\forall x\)
nên \(x\in R\)
Co I a I \(\ge0\)
I a I < 1
=> I a I = 0 <=> a = 0
Co I a - c I < 10 thay a = 0 ta duoc
I 0 - c I < 10
Co I ab - c I = I 0 - c I
Ma I 0 - c I < 10 nen I ab - c I < 20
a: H=5|3x-6|+100>=100
Dấu = xảy ra khi x=2
b: Đặt a/b=c/d=k
=>a=bk; c=dk
\(\dfrac{ac}{bd}=\dfrac{bk\cdot dk}{bd}=k^2\)
\(\left(\dfrac{a+2018c}{b+2018d}\right)^2=\left(\dfrac{bk+2018dk}{b+2018d}\right)^2=k^2\)
=>ĐPCM
a: \(\Leftrightarrow-x+2=-0.02\)
=>2-x=-0,02
=>x=2,02
b: \(\Leftrightarrow-0.75x+9=0.4\)
=>-0,75x=-8,6
=>x=172/15
c: \(\Leftrightarrow0.27x-5.4=-0.375\)
=>0,27x=5,025
=>x=335/18
a: 3,26-1,549=1,711
b: 0,167-2,396=-2,229
c: -3,29-0,867=-4,157
d: -6,09-3,65=-9,74
e: \(\left(-2.5\right)\cdot\left(-4\right)=2.5\cdot4=10\)
f: \(=\left[\left(-2.5\right)\cdot\left(-4\right)\right]\cdot\left(-7\right)=-7\cdot10=-70\)
Giải:
a) \(\left|-4,1\right|+1,8+\left|-3,5\right|-\left|-4,1\right|-\left|-1,8\right|\)
\(=4,1+1,8+3,5-4,1-1,8\)
\(=3,5\)
b) \(\left|\dfrac{2}{5}\right|-\left|-0,2\right|.\left|-7\right|\)
\(=\dfrac{2}{5}-0,2.7\)
\(=\dfrac{2}{5}-\dfrac{7}{5}\)
\(=-1\)
c) \(\left(-15\right):\left|-3\right|+\left|0,5\right|\)
\(=\left(-15\right):3+0,5\)
\(=-5+0,5\)
\(=-4,5\)
Chúc bạn học tốt!
\(a)\left|-4,1\right|+1,8+\left|-3,5\right|-\left|-4,1\right|-\left|-1,8\right|\)
\(=4,1+1,8+3,5-4,1-1,8\)
\(=\left(4,1-4,1\right)+\left(1,8-1,8\right)+3,5\)
\(=3,5\)
\(b)\left|\dfrac{2}{5}\right|-\left|-0,2\right|.\left|-7\right|\)
\(=\dfrac{2}{5}-0,2.7\)
\(=\dfrac{2}{5}-\dfrac{7}{5}\)
\(=-1\)
\(c)\left(-15\right):\left|-3\right|+\left|0,5\right|\)
\(=\left(-15\right):3+0,5\)
\(=-5+0,5\)
\(=\dfrac{-9}{2}\)
Chúc bạn học tốt!