Bài 1:
30 - |x - 4| = -14
\(\Leftrightarrow |x-4|=30+14\)
\(\Leftrightarrow |x-4|=44\)
\(\Leftrightarrow\left[ \begin{array}{l}x-4=44\\x-4=-44\end{array} \right.\)
\(\Leftrightarrow\left[ \begin{array}{l}x=44+4\\x=-44+4\end{array} \right.\)
\(\Leftrightarrow\left[ \begin{array}{l}x=48\\x=-40\end{array} \right.\)
|x| = -7
Vì \(|x| \geq 0\) \(\Rightarrow|x| = -7\) là vô lý
Vậy \(x \in \varnothing\)
Bài 2:
1) -(573 - 54) + (216 - 333)
\(= -573 + 54 + 216 - 333\)
\(= -636\)
2) -574 - 207 + (-200) - (-574)
\(= -574-207-200+574\)
\(= (-574+574)-(207+200\)
\(= 0-407\)
\(= -407\)
