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DAILY ACTIVITY - ASSIGNMENT: Activity 1-C-3 3. Consider the operation & defined by ab is the remainder when a+b is divided by 3. Activity 1-C-3 Which of the following sets are closed under this operation? 1. Consider the operation * defined by x * y = [x| + lyl . um Juads AninT Prime Numbers zysw vnom vistinitel nl barnseong ed neo isdmun viva Which of the following sets are closed under this operation? Explain/show work! A IS , NOOK . A8 , IS , I X S , 0.8 to nowthwad neo S,algmexs vol . Integers ob woll 2to .0 .gol "brie elsmiseb ,anoifast insleviupe of zedmun galwollot add sgnano sort ing upy blupo well .&. hisid woy laut ofshualso s gniew forillw asgainsmasq Integer multiples of 3 bad Negative Integers X+y valent to 10 - (8 - )P SI Will dmon ows att anohwow yo Tax ES walthen vey bluto LE ac.o . T = {-1,0,1} 81 . Integer multiples of 3 1.0 3X (or) aldenw YRAJUSADOV CHAZSTON - YTMIDDAYJIAQ 2. Consider the operation O defined by xO y = x + y- 2 4. Consider the operation @ defined by aOb is the remainder when ab is divided by 4. Which of the following sets are closed under this operation? Which of the following sets are closed under this operation? Integers- 2 2, 1 2, 3, ..Y . Non-negative Integers ler x = - 2 , 4: 2 -2 +1 - 2 : - 3, - 3 in managers no closed swivb noteblod vhagov syljudhizb aff li sbiged. Te + 01 - 8-+ Or of Insisvlupe (@ - W) + 0 21 6 Positive Integers $ 1 2 / 3, 4, 5 , . 3 (or 1 : 2 4:2 1. Integer multiples of 2 2+2- 2- 1, 1 in prime suregers no it dosed . Integer multiples of 3 sor + 2 - Of + 80) inslaviups Of + (1 -B) at d . W = {0,1,2,3 } ESUHSD MRWC