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X-2do-Repaso (Sin solucionario).pptx
1.
Curso: รLGEBRA Tema: REPASO Grado: Semana: SEGUNDO 40
2.
DESIGUALDA DES SEMANA 36
3.
EJERCICIO 1 :
๐๐: โ1 โค ๐ฅ < 3 ๐ผ๐๐๐๐๐๐ ๐๐ ๐ฃ๐๐๐๐๐๐รณ๐ ๐๐ ๐ธ = ๐ฅ + 3 RESOLUCIรN :
4.
EJERCICIO 2 :
๐๐: โ5 < ๐ฅ โค 4 ๐ผ๐๐๐๐๐๐ ๐๐ ๐ฃ๐๐๐๐๐๐รณ๐ ๐๐: ๐ = 3๐ฅ + 5 RESOLUCIรN :
5.
EJERCICIO 3: ๐๐:
โ20 โค 2๐ฅ โค 8 ๐ผ๐๐๐๐๐๐ ๐๐ ๐ฃ๐๐๐๐๐๐รณ๐ ๐๐ โถ ๐ = โ3๐ฅ RESOLUCIรN :
6.
EJERCICIO 4 : ยฟ
๐ถ๐ขรก๐๐ก๐๐ ๐รบ๐๐๐๐๐ ๐๐๐ก๐๐๐๐ โถ ๐ ๐ฅ = 3 โ ๐ฅ ; ๐๐ฅ๐๐ ๐ก๐๐ ๐ ๐ ๐ ๐ ๐ ๐๐๐ ๐๐ข๐ โถ 2 < ๐ฅ โค 7 ? RESOLUCIรN :
7.
EJERCICIO 5 :
๐๐: โ2 < ๐ฅ โค 2 ๐ผ๐๐๐๐๐๐ ๐๐ ๐ฃ๐๐๐๐๐๐รณ๐ ๐๐ ๐พ = 10 3 โ ๐ RESOLUCIรN :
8.
EJERCICIO 6 :
๐๐ โถ 5 โค ๐ฅ โ 1 ๐ฅ + 2 โค 12 ๐ผ๐๐๐๐๐๐ ๐๐ ๐ฃ๐๐๐๐๐๐รณ๐ ๐๐ "๐ฅ" RESOLUCIรN :
9.
SEMANA 37
10.
EJERCICIO 1 : RESOLUCIรN
: ๐๐: ๐ด = โ5; 8 โช 10; +โ ๐ต = 1; 17 ๐ท๐๐ก๐๐๐๐๐๐: ๐ด โฉ ๐ต
11.
EJERCICIO 2 :
๐ ๐๐๐๐๐๐๐๐๐ ๐๐๐๐๐๐๐ก๐๐๐๐๐ก๐: RESOLUCIรN : โ๐ โค ๐ < ๐ A โ๐; ๐ B ๐ โค ๐ C โ๐; ๐ D โ5 2 โ5 7 โ2 7 7
12.
EJERCICIO 3: RESOLUCIรN : ๐๐
โถ ๐ฅ โ โ7; 2 , ๐๐๐ก๐๐๐๐๐ ๐๐๐๐๐๐ ๐๐๐ก๐๐ ๐๐รก๐๐๐๐๐๐๐๐ก๐ ๐๐ ๐๐๐ก๐๐๐ฃ๐๐๐ ๐๐ โถ ๐ธ = ๐ฅ + 4
13.
EJERCICIO 4 : RESOLUCIรN
: ๐๐ โถ 5 โ ๐ฅ โ 1; 7 , ๐๐๐ก๐๐๐๐๐ ๐๐๐๐๐๐ ๐๐๐ก๐๐ ๐๐รก๐๐๐๐๐๐๐๐ก๐ ๐๐ ๐๐๐ก๐๐๐ฃ๐๐๐ ๐๐ โถ ๐ = ๐ฅ2 โ 1
14.
EJERCICIO 5 : RESOLUCIรN
: ๐๐ โถ ๐ด = โ6; โ3 โช 3; 7 ๐ต = โโ; โ4 โช 3; +โ ๐ป๐๐๐๐๐ โถ ๐ด โช ๐ต
15.
EJERCICIO 6 : RESOLUCIรN
: ๐ธ๐ ๐๐๐๐ ๐๐๐ ๐ โ๐๐๐๐ โถ ๐ด โฉ ๐ต ๐) โโ +โ +โ +โ +โ โโ โโ +โ โโ โโ โ4 7 0 5 โ2 7 ๐) ๐ด ๐ต ๐ด โ7 0 4 6 ๐) โ3 ๐ต ๐ด ๐) โ1 1 ๐ด ๐ต ๐) 0 5 7 ๐ด ๐ต ๐ต
16.
SEMANA 38
17.
EJERCICIO 1: RESOLUCIรN ๐ฐ๐๐ ๐๐๐๐ ๐๐
๐๐๐๐๐๐๐๐๐ ๐๐๐๐๐๐รณ๐ ๐ ๐: ๐) ๐๐ ๐ โ ๐ < ๐ ๐ ๐) ๐ โ ๐ ๐ โฅ ๐ ๐
18.
EJERCICIO 2: RESOLUCIรN ๐ฐ๐๐ ๐๐๐๐ ๐๐๐๐ ๐๐ ๐๐๐
๐ฝ ๐ ๐๐๐๐๐ ๐ ๐๐ ๐๐๐ ๐๐๐๐๐๐๐๐๐๐ ๐๐๐๐๐๐๐๐๐๐๐๐๐ ๐ฐ. ๐ โค ๐ + ๐ < ๐๐ โ ๐ โ ๐; ๐ ๐ฐ๐ฐ. ๐ < ๐ โ ๐ < ๐ โ ๐ โ ๐; ๐ ๐ฐ๐ฐ๐ฐ. ๐ < ๐๐ + ๐ ๐ โค ๐ โ ๐ โ ๐; ๐
19.
EJERCICIO 3: RESOLUCIรN ๐น๐๐๐๐๐๐๐: ๐ ๐
+ ๐ ๐ โ ๐ โ ๐ ๐ + ๐ ๐ โ ๐ โฅ ๐ โ ๐ ๐ ยฟ ๐ช๐รก๐ ๐ ๐ ๐๐๐ ๐๐๐๐๐๐๐๐๐๐ ๐๐๐๐๐๐๐ ๐๐ ๐๐ ๐๐๐๐๐๐รณ๐ ๐๐๐๐ ๐๐ ๐๐๐๐๐๐๐๐รณ๐? ๐) โ ๐ ๐) โ ๐ ๐) ๐ ๐ ) ๐ ๐) ๐
20.
EJERCICIO 4: RESOLUCIรN ๐น๐๐๐๐๐๐๐ ๐๐
๐๐๐๐๐๐๐๐๐ ๐๐๐๐๐๐๐: ๐ + ๐ ๐ โ ๐ โค ๐ โ ๐ ๐ + ๐ โฆ (๐ฐ) ๐ โ ๐ ๐ + ๐ โค ๐ + ๐ ๐ โ ๐ โฆ (๐ฐ๐ฐ)
21.
EJERCICIO 5: RESOLUCIรN ๐ฏ๐๐๐๐ ๐๐
๐๐๐๐๐๐๐๐ ๐๐๐๐๐๐รณ๐ ๐ ๐๐ ๐๐๐๐๐๐๐ ๐ ๐ ๐๐๐๐๐๐๐๐๐๐๐๐ ๐ฐ. ๐๐ + ๐ ๐ โค ๐ ๐ฐ๐ฐ. ๐ โ ๐ ๐ < ๐ โ ๐ ๐ฐ๐ฐ๐ฐ. ๐ + ๐ ๐ โฅ ๐ โ ๐
22.
EJERCICIO 6: RESOLUCIรN ๐น๐๐๐๐๐๐๐ ๐๐
๐๐๐๐๐๐๐: ๐ผ) ๐ฅ 2 โ ๐ฅ + 1 3 < 1 ๐ผ๐ผ) ๐ฅ โ 3 2 + ๐ฅ 3 > 1
23.
SEMANA 39
24.
EJERCICIO 1: RESOLUCIรN Representar grรกficamente
las siguientes expresiones: a) โ๐ < ๐ โค ๐ b) ๐ โค ๐ < ๐๐ c) โ ๐ ๐ < ๐ < ๐ ๐
25.
EJERCICIO 2: RESOLUCIรN ๐๐๐ฌ๐จ๐ฅ๐ฏ๐๐ซ ๐๐ฅ
๐ฌ๐ข๐ฌ๐ญ๐๐ฆ๐ ๐๐ง ๐๐ง๐ญ๐๐ซ๐จ๐ฌ ๐ฉ๐จ๐ฌ๐ข๐ญ๐ข๐ฏ๐จ๐ฌ: ๐ฑ + ๐ฒ < ๐ ๐ฑ โ ๐ฒ > ๐ ๐๐ง๐๐ข๐๐๐ซ ๐ฑ๐ฒ โฆโฆ. (1) โฆโฆ. (2)
26.
EJERCICIO 3: RESOLUCIรN ๐๐๐ฌ๐จ๐ฅ๐ฏ๐๐ซ ๐๐ง
๐๐ง๐ญ๐๐ซ๐จ๐ฌ ๐ฉ๐จ๐ฌ๐ข๐ญ๐ข๐ฏ๐จ๐ฌ: ๐ฑ ๐ + ๐ฒ ๐ < ๐ โฆ (๐) ๐ฑ ๐ โ ๐ฒ ๐ > ๐ โฆ (๐) ๐ฒ > ๐ ๐๐ง๐๐ข๐๐๐ซ ๐๐ฅ ๐ฏ๐๐ฅ๐จ๐ซ ๐๐ "๐ฑ๐ + ๐ฒ๐"
27.
EJERCICIO 4: RESOLUCIรN ๐๐๐ฌ๐จ๐ฅ๐ฏ๐๐ซ ๐๐ฅ
๐ฌ๐ข๐ฌ๐ญ๐๐ฆ๐ ๐๐ง ๐๐ง๐ญ๐๐ซ๐จ๐ฌ โถ ๐๐ฑ โ ๐๐ฒ > ๐๐ ๐ฑ + ๐๐ฒ < โ๐ ๐ฒ > โ๐ ๐๐ง๐๐ข๐๐๐ซ ๐๐ฅ ๐ฆ๐๐ง๐จ๐ซ ๐ฏ๐๐ฅ๐จ๐ซ ๐๐: (๐ฑ๐ฒ) โฆโฆ. (1) โฆโฆ. (2) โฆโฆ. (3)
28.
EJERCICIO 5: RESOLUCIรN Mathias ๐ญ๐ข๐๐ง๐
๐๐ข๐๐ซ๐ญ๐ ๐๐๐ง๐ญ๐ข๐๐๐ ๐๐ ๐๐ข๐ง๐๐ซ๐จ, ๐ ๐๐ฌ๐ญ๐ ๐๐๐ ๐ฌ๐จ๐ฅ๐๐ฌ ๐ฒ ๐ฅ๐จ ๐ช๐ฎ๐ ๐ฅ๐ ๐ช๐ฎ๐๐๐ ๐๐ฌ ๐ฆรก๐ฌ ๐ช๐ฎ๐ ๐ฅ๐จ๐ฌ ๐ ๐ ๐๐ ๐ฅ๐จ ๐ช๐ฎ๐ ๐ญ๐๐ง๐ข๐ ๐ข๐ง๐ข๐๐ข๐๐ฅ๐ฆ๐๐ง๐ญ๐; ๐ ๐๐ฌ๐ญ๐ ๐ฅ๐ฎ๐๐ ๐จ ๐ฅ๐ ๐ฆ๐ข๐ญ๐๐ ๐ฒ ๐๐ฅ saldo es ๐ฆ๐๐ง๐จ๐ซ ๐ช๐ฎ๐ ๐๐๐ ๐ฌ๐จ๐ฅ๐๐ฌ. ยฟ ๐๐ฎรก๐ง๐ญ๐จ ๐ญ๐๐งรญ๐ ๐ข๐ง๐ข๐๐ข๐๐ฅ๐ฆ๐๐ง๐ญ๐, ๐ฌ๐ข ๐๐ฌ๐ ๐ฆ๐จ๐ง๐ญ๐จ ๐๐ฌ ๐ฆรบ๐ฅ๐ญ๐ข๐ฉ๐ฅ๐จ ๐๐ ๐๐?
29.
EJERCICIO 6: RESOLUCIรN ๐๐ ๐๐จ๐ฆ๐ฉ๐ซ๐:
๐๐๐ฑ ๐ง๐๐ซ๐๐ง๐ฃ๐๐ฌ, ; ๐ฌ๐ข ๐ฌ๐ ๐ฏ๐๐ง๐๐ ๐ฅ๐๐ฌ ๐ญ๐ซ๐๐ฌ ๐๐ฎ๐๐ซ๐ญ๐๐ฌ ๐ฉ๐๐ซ๐ญ๐๐ฌ, ๐ช๐ฎ๐๐๐๐ง ๐ฆ๐๐ง๐จ๐ฌ ๐๐ ๐๐๐ ๐ฉ๐จ๐ซ ๐ฏ๐๐ง๐๐๐ซ ๐ฒ ๐ฌ๐ข ๐ฌ๐ ๐ฏ๐๐ง๐๐ข๐๐ซ๐ ๐ฅ๐ ๐ช๐ฎ๐ข๐ง๐ญ๐ ๐ฉ๐๐ซ๐ญ๐ ๐ช๐ฎ๐๐๐๐ซ๐ข๐ ๐ฆ๐๐ฌ ๐๐ ๐๐๐ ๐ฉ๐จ๐ซ ๐ฏ๐๐ง๐๐๐ซ. ยฟ ๐๐ฎรก๐ง๐ญ๐๐ฌ ๐ฆ๐๐ง๐ณ๐๐ง๐๐ฌ ๐ฌ๐ ๐๐จ๐ฆ๐ฉ๐ซ๐๐ซ๐จ๐ง?
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