Question

a: (x-1) ( x+5) > 0

b: (x-1) ( x+5) < 0

c) \(\left(x-\dfrac{1}{2}\right)^2=\dfrac{1}{16}\)

d)\(\dfrac{3}{4}-\dfrac{1}{4}\left|x-\dfrac{1}{7}\right|=\dfrac{1}{4}\)

e) 8 ( x+1) - 2 ( 2x + 5 ) = 0

g) ( 6x-1) - ( x + 8 ) =0

h) \(\left|7x-\dfrac{1}{4}\right|=1\)

x) -2x-3=-x+7

Answer 1

help me

Answer 2

\(\left(x-1\right)\left(x+5\right)>0\)

\(\Rightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}x-1>0\Rightarrow x>1\\x+5>0\Rightarrow x>-5\end{matrix}\right.\\\left\{{}\begin{matrix}x-1< 0\Rightarrow x< 1\\x+5< 0\Rightarrow x< -5\end{matrix}\right.\end{matrix}\right.\)

\(\left(x-1\right)\left(x+5\right)< 0\)

\(\Rightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}x-1>0\Rightarrow x>1\\x+5< 0\Rightarrow x< -5\end{matrix}\right.\\\left\{{}\begin{matrix}x-1< 0\Rightarrow x< 1\\x+5>0\Rightarrow x>-5\end{matrix}\right.\end{matrix}\right.\)

\(\Rightarrow-5< x< 1\)

câu dễ tự làm

\(\Rightarrow x>-5;x< -5\)