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(3) !#" %$& '( !)+* -,#./ 021431457698;:=<?>A@CBEDFAG&HJI+K4L&M (A ∪ B)\C = (A\C) ∪ (B\C), A\(B ∪ C) = (A\B)\C, (A\B)∩(C\D) = (A∩C)\(B∪D), A\(B\(C\D)) = (A\B)∪(A∩C)\D).. 021431457698ONQPSRTDHUM VWI+K4L M. A ⊂ B ⇒ C\B ⊂ C\A, A\B = B\A ⇒ A = B.. 021431457698OXQYSB+@WZ?[WRTD\B+IG ]^HJ_`@. A×B R : x2 − 4x + 3 ≤ 0}. KAa`F^G HJM. K. A = {a ∈ R : x2 + x − 2 > 0} B = {b ∈. 021431457698%bQc ?< MedWfHJMgDhZ?]AHUM @iB+jARkDHJl&M fmB+@i[WGEB?npo+_qDrts nuR`[WRqDvB?npRkwyx+zS>{R`[|nu_qDr~}(B+jARqDHJM t}(KhK tKH2kR+C@WG&Z?fmB+JH7RF^>{RqDHJM&FAjAHUR`+z^K/`z`^Kw+w^K +z`-Hw`wy-anpR`[WZ+r2Jl Rj4BTdWfjAHJMd\>{R`[|nu_qDQa?nuR`[WRTD\B?npRmG BqD[WG M / 021431457698O/jAB+JM& IG ]^HJR`@Z x @iG M&l GZ?DHU[WiM+K k l B?nuo RTDH¡CME¢ 2. x2 − 4x + 3 > 0, (x − 2)/(x2 − 5x + 4) ≥ 0, sin x ≥ 1/2, ex > e, √ ln(x2 − 4) > 1, x2 + 4 ≥ 1, (x2 + 1)/(x2 − 1) > 2, √ k 3 ≤ 8 ∧ k 2 < 15, ln k < 2 ∨ k 2 + 6k + 9 ≤ 5.. 021431457698O£/jAB+JM& IFAG&HJM F^G HJj^¤k¥¦AjAo+ldWH. q. ln(cos2 x), ln(x2 − 1), arcsin(tgx), √ √ √ x − 2 + 3 − x, ln(ln(1 − x3 )), arcsin( x3 + 1), √ (x − 2)/ x3 − 6x2 + 8x, arccos(x/(1 − x)), ln(x − 1) + arccos(x + 1).. 021431457698¨§ª©R`GDHp«+G B+I@i_qDj4B+j^HpB. e2 + e−2 = 2chx, ex + 2e−x = 3, x4 − 5x2 + 6 = 0, ln(x2 + 1) = ln(2x − 1) + ln(x + 1), arctg(x2 /(1 − x)) = π/4, x3 − 3x2 + 3x − 1 = 8, tg2 (x2 − π/2) = 3, ch2 x + sh2 x = 1.. ¬.

(4) 2®4¯®4°7±9²O³ª´Oµ?¶¸·+¹E·+º»i¼`½ ¾i·+¿m¼+ÀiÁ Â (x−1)(x4 +x3 +x2 +x+1) = x5 −1, th(x+y) = (thx+thy)/(1+thxthy), 6e5x − 4e−5x = ch5x + 5sh5x, ln(x2 + 4x + 4) = 2 ln(x + 2). 2®4¯®4°7±9²OÃÄkÅAÆUÂJÁ&¹&µ?ºÇ9È#¼ÉA·+ºkÊQÈ#¼`¾W»C·+Á ÂÆUÂJÁ&¹ ÅµÊhµ?¿ÂJË ÌWÍAËeÎCÏ. √ log2 3 log3 5 log5 8, cos2 (arctg 7), sin2 (2005π/3), e−3 ln 5 , 2 sin(π/12) cos(π/12), arctg(2 sin 5π/3)/π.. 2®A¯7®4°7±¦²;Ð?Ñ Ò· ÌWµ?¾i¼qÊ\·+ºÊhµ?¶yÌiË&¾SÓ¦ÔAÍ^¶+ÁeÎWÂ. 2 cos(x + π/4) − 1, 2e2x − 2, ln(2x + 3) + 1, 3arctg(2x − 1), (2x + 1)3 − 4, (2x − 2)5/2 , (2x + 2)−1/2 − 2, 2 arcsin(x − 1) − π.. Õ.

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lt;?&gt;A@CBEDFAG&amp;HJI+K4L&amp;M (A &cup

lt;?>A@CBEDFAG&HJI+K4L&M (A &cup