Question

Cho: E={x\(\in\)Z|  |x|≤5}, A={x\(\in\)R|x²+3x-4=0}, B={x\(\in\)Z|(x-2)(x+1)(2x²-x-3)=0}

Tìm C_E(A\(\cap\)B), C_E(A\(\cup\)B)

Answer 1

Lời giải:

$E=\left\{-5;-4;-3;-2;-1;0;1;2;3;4;5\right\}$

$A=\left\{1; -4\right\}$

$B=\left\{-1; 2\right\}$

Do đó:

$A\cup B = \left\{-4; -1; 1;2\right\}$

$C_E(A\cup B)=\left\{-5;-3;-2; 0;3;4;5\right\}$

$A\cap B = \varnothing$

$C_E(A\cap B)=E$