Question

Enumerati elementele multimii M={x apartine M3 si x-1 apartine D14}

VA ROG AJUTATI-MA DAU COROANA

Answer 1

$M=\left\{x\:\in\:M_{3}\: \: si \: \:x-1\:\in\:D_{14}\right\}$

$D_{14}=\left\{\pm1,\pm2,\pm7,\pm14\right\}$

$1)x - 1 = - 1$

$x = - 1 + 1$

$x = 0 \: \in \: M_{3}$

$2)x - 1 = 1$

$x = 1 + 1$

$x = 2 \: \notin \: M_{3}$

$3)x - 1 = - 2$

$x = - 2 + 1$

$x = - 1 \: \notin \: M_{3}$

$4)x - 1 = 2$

$x = 2 + 1$

$x = 3 \: \in \: M_{3}$

$5)x - 1 = - 7$

$x = - 7 + 1$

$x = - 6 \: \in \: M_{3}$

$6)x - 1 = 7$

$x = 7 + 1$

$x = 8 \: \notin \: M_{3}$

$7)x - 1 = - 14$

$x = - 14 + 1$

$x = - 13 \: \notin \: M_{3}$

$8)x - 1 = 14$

$x = 14 + 1$

$x = 15 \: \in \: M_{3}$

$= > x \: \in \: \left\{-6,0,3,15\right\}$

$= > M=\left\{-6,0,3,15\right\}$