Question

c) |3x- 2| - |\(^{2^2}\)-3|= 4

Answer 1

\(\left|3x-2\right|-\left|2^2-3\right|=4\)

\(\left|3x-2\right|-\left|4-3\right|=4\)

\(\left|3x-2\right|-\left|1\right|=4\)

\(\left|3x-2\right|-1=4\)

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

Answer 2

\(\left|3x-2\right|-\left|2^2-3\right|=4\)

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

\(\Rightarrow\left[\begin{array}{nghiempt}3x-2=5\\2-3x=5\end{array}\right.\)\(\Rightarrow\left[\begin{array}{nghiempt}x=\frac{7}{3}\\x=-1\end{array}\right.\)