Question

Tìm x biết:

a, \(\left|3x-2\right|-x=7\)           b, \(\left|2x-3\right|\) >5              c, \(\left|3x-1\right|\) <7           d, \(\left|3x-5\right|+\left|2x+3\right|\) =7

Làm hộ cái nha!

Answer 1

a)<=> \(\left[\begin{array}{nghiempt}3x-2=7+x\\3x-2=-7-x\end{array}\right.\)

<=> \(\left[\begin{array}{nghiempt}x=\frac{9}{2}\\x=-\frac{5}{4}\end{array}\right.\)

b) | 2x-3|>5<=> \(\left[\begin{array}{nghiempt}2x-3>5\\2x-3< -5\end{array}\right.\)<=>\(\left[\begin{array}{nghiempt}x>4\\x< -1\end{array}\right.\)

c) |3x-1|<7<=>\(\left[\begin{array}{nghiempt}3x-1< 7\\3x-1>-7\end{array}\right.\)<=>\(\left[\begin{array}{nghiempt}x< \frac{8}{3}\\x>-2\end{array}\right.\)

d, xét từng TH1: x<-3/2

TH2:\(\frac{-3}{2}\le0\le\frac{5}{3}\)

TH3:x \(\ge\frac{5}{3}\)