Question

a) / 2x- 3 / > 5

b) / 3x - 1 / ≤ 7

c ) / 3x -5 / + / 2x + 3 / = 7

Answer 1

\(\left|2x-3\right|>5\\ \Rightarrow-5< 2x-3< 5\\ \Rightarrow-2< 2x< 8\\ \Rightarrow-1< x< 4\)

b. TT

c .

\(\left|3x-5\right|+\left|2x+3\right|=7\)

TH1 : x<-3/2

\(\Rightarrow-\left(3x-5\right)-\left(2x+3\right)=7\\ \Rightarrow-5x+2=7\\ \Rightarrow x=-1\left(loai\right)\)

TH2 : -3/2<=x<=5/3

\(\Rightarrow-\left(3x-5\right)+\left(2x+3\right)=7\\ \Rightarrow-x+8=7\\ \Rightarrow x=1\left(TM\right)\)

TH3 : x>5/3

\(\Rightarrow3x-5+2x+3=7\\ \Rightarrow5x-2=7\\ \Rightarrow x=\dfrac{9}{5}\)