1) -20<x<21 =>x∈{-19;-18;-17;….;20}Vậy x∈{-19;-18;-17;….;20}2)-18<x<17=>x∈{-17;-16;-15;…;16}Vậy x∈{-17;-16;-15;…;16}3)-27<x<=27=>x∈{-26;-25;-24;….;27}Vậy x∈{-26;-25;-24;….;27}4)|x|<=3=>|x|∈{…;-2;-1;0;1;2;3}Mà |x|>=0AAx=>|x|∈{0;1;2;3}|x|=0=>x=0|x|=1=> \(\left[ \begin{array}{l}x=1\\x=-1\end{array} \right.\) |x|=2=> \(\left[ \begin{array}{l}x=2\\x=-2\end{array} \right.\) |x|=3=> \(\left[ \begin{array}{l}x=3\\x=-3\end{array} \right.\) Vậy x∈{0;+-1;+-2;+-3}5)|-x|<5=>|-x|∈{…;-2;-1;0;1;2;3;4}|-x|>=0AAx=>|-x|∈{0;1;2;3;4}-|x|=0=>x=0|-x|=1=> \(\left[ \begin{array}{l}x=1\\x=-1\end{array} \right.\) |-x|=2=> \(\left[ \begin{array}{l}x=2\\x=-2\end{array} \right.\) |-x|=3=> \(\left[ \begin{array}{l}x=3\\x=-3\end{array} \right.\) |-x|=4=> \(\left[ \begin{array}{l}x=4\\x=-4\end{array} \right.\) Vậy x∈{0;+-1;+-2;+-3;+-4} Trả lời
1. x ∈ { -19 ; -18 ; -17 ; … ; 19 ; 20 } 2. x ∈ { -17 ; -16 ; -15 ; … ; 15 ; 16 } 3, x ∈ { -26 ; -25 ; -24 ; … ; 25 ; 26 } 4. x ∈ { -3 ; -2 ; -1 ; … ; 2 ; 3 } x ∈ { 1 ; 2 ; 3 ; 4 } Trả lời
=>x∈{-19;-18;-17;….;20}
Vậy x∈{-19;-18;-17;….;20}
2)-18<x<17
=>x∈{-17;-16;-15;…;16}
Vậy x∈{-17;-16;-15;…;16}
3)-27<x<=27
=>x∈{-26;-25;-24;….;27}
Vậy x∈{-26;-25;-24;….;27}
4)|x|<=3
=>|x|∈{…;-2;-1;0;1;2;3}
Mà |x|>=0AAx=>|x|∈{0;1;2;3}
|x|=0=>x=0
|x|=1=> \(\left[ \begin{array}{l}x=1\\x=-1\end{array} \right.\)
|x|=2=> \(\left[ \begin{array}{l}x=2\\x=-2\end{array} \right.\)
|x|=3=> \(\left[ \begin{array}{l}x=3\\x=-3\end{array} \right.\)
Vậy x∈{0;+-1;+-2;+-3}
5)|-x|<5
=>|-x|∈{…;-2;-1;0;1;2;3;4}
|-x|>=0AAx
=>|-x|∈{0;1;2;3;4}
-|x|=0=>x=0
|-x|=1=> \(\left[ \begin{array}{l}x=1\\x=-1\end{array} \right.\)
|-x|=2=> \(\left[ \begin{array}{l}x=2\\x=-2\end{array} \right.\)
|-x|=3=> \(\left[ \begin{array}{l}x=3\\x=-3\end{array} \right.\)
|-x|=4=> \(\left[ \begin{array}{l}x=4\\x=-4\end{array} \right.\)
Vậy x∈{0;+-1;+-2;+-3;+-4}