Câu 5:
H=|x-3|+|4+x|
\(=\left|x-3\right|+\left|x+4\right|\ge\left|x-3-x-4\right|=7\forall x\)
Dấu '=' xảy ra khi (x-3)(x+4)<=0
=>-4<=x<=3
Câu 3: ĐKXĐ: n<>1
Để A là số nguyên thì 3n+2⋮n-1
=>3n-3+5⋮n-1
=>5⋮n-1
=>n-1∈{1;-1;5;-5}
=>n∈{2;0;6;-4}
Câu 1:
a: \(\frac34+\frac25x=\frac{3}{20}\)
=>\(\frac25x=\frac{3}{20}-\frac34=\frac{3}{20}-\frac{15}{20}=\frac{-12}{20}=-\frac35\)
=>\(x=-\frac35:\frac25=-\frac32\)
b: |x+1|-9=-7
=>|x+1|=-7+9=2
=>\(\left[\begin{array}{l}x+1=2\\ x+1=-2\end{array}\right.\Rightarrow\left[\begin{array}{l}x=1\\ x=-3\end{array}\right.\)
