rút gọn a)Q=-|x-1|+10 b)M=|x-2|+|3-x|-0,5 với x< hoặc =2 14/07/2021 Bởi Alaia rút gọn a)Q=-|x-1|+10 b)M=|x-2|+|3-x|-0,5 với x< hoặc =2
a) $Q=-|x-1|+10=-[±(x-1)]+10$ $⇔$\(\left[ \begin{array}{l}Q=-(x-1)+10\\Q=-(1-x)+10\end{array} \right.\) $⇔$\(\left[ \begin{array}{l}Q=1-x+10\\Q=x-1+10\end{array} \right.\) $⇔$\(\left[ \begin{array}{l}Q=11-x\\Q=x+9\end{array} \right.\) Vậy ………………………….. b) $M=|x-2|+|3-x|-0,5$ với $x≤2⇒$$\left \{ {{x-2≤0} \atop {3-x>2-x≥0}} \right.⇔$ $\left \{ {{|x-2|=2-x} \atop {|3-x|=3-x}} \right.$ $⇒M=2-x+3-x-0,5=4,5-2x$ Vậy ……………………………………. Bình luận
a) $Q=-|x-1|+10=-[±(x-1)]+10$
$⇔$\(\left[ \begin{array}{l}Q=-(x-1)+10\\Q=-(1-x)+10\end{array} \right.\) $⇔$\(\left[ \begin{array}{l}Q=1-x+10\\Q=x-1+10\end{array} \right.\) $⇔$\(\left[ \begin{array}{l}Q=11-x\\Q=x+9\end{array} \right.\)
Vậy …………………………..
b) $M=|x-2|+|3-x|-0,5$
với $x≤2⇒$$\left \{ {{x-2≤0} \atop {3-x>2-x≥0}} \right.⇔$ $\left \{ {{|x-2|=2-x} \atop {|3-x|=3-x}} \right.$
$⇒M=2-x+3-x-0,5=4,5-2x$
Vậy …………………………………….