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2 y 3 - Amolasmates

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c) x(x 2 +x)-(x+1)(x 2 -2)>-4<br />

d) (2x-3) 2 ≤1<br />

e) 4x(x+39)+9(2x+3) 2 +x-1<br />

i) (2x+3)(2x-3)+5x>2(x+1)-1<br />

j) (2x+2)(2x-2)≤(x+1) 2 +2(x+1)(x-1)<br />

k) (2x+3)(2x-3)≤(2x-3) 2 +30x<br />

l) (2x-3) 2 +x 2 >(3x+1)(3x-1)-6<br />

2<br />

m) (x + 3)(x − 3) − (x − 2) < 6 + x(x − 5)<br />

n) (2x+1)(x+1)≤(x+2)(x-2)+3<br />

o)<br />

p)<br />

q)<br />

r)<br />

(2x + 1)(2x − 1) (x + 1)<br />

−<br />

6<br />

9<br />

(x - 3)<br />

2<br />

( x<br />

+<br />

2<br />

2)(<br />

x<br />

12<br />

(x + 1)(x - 1)<br />

+<br />

3<br />

2<br />

≤<br />

4x<br />

<<br />

x(7x - 8) - 1<br />

2<br />

18<br />

− 19x<br />

+ 31<br />

6<br />

− 2)<br />

2x<br />

+ 1 6 − 5(<br />

x − 2)<br />

3(<br />

x −1)<br />

+ −<br />

≤<br />

18 6<br />

36<br />

(x + 2)(x − 2) (x − 3)<br />

−<br />

4 3<br />

2<br />

2<br />

x(11−<br />

x)<br />

≥<br />

6<br />

s)<br />

(x - 2) 5x + 6 (x + 3)(x − 3)<br />

+ <<br />

+ 6<br />

2 6 3<br />

t)<br />

(x - 2)(x + 4) ( x − 2)<br />

u)<br />

v)<br />

w)<br />

x)<br />

( x<br />

( 3x<br />

( x<br />

( x<br />

2<br />

−<br />

6<br />

2<br />

≥ x − 2<br />

+ 1)(<br />

x − 1)<br />

+ 3 (x - 1) + 2x x + 7<br />

−<br />

≤ 1−<br />

3<br />

4<br />

12<br />

+ 1)(<br />

3x<br />

− 1)<br />

( x + 2)(<br />

x − 2)<br />

11<br />

+ 4x<br />

− 5 ≥<br />

+<br />

6<br />

2 6<br />

−1)<br />

3<br />

2<br />

2x<br />

+ 1 ( x + 1)(<br />

x −1)<br />

− ≥ 1−<br />

6<br />

2<br />

+ 1)(<br />

x − 1)<br />

−<br />

2<br />

( x<br />

2<br />

2<br />

+ 3)(<br />

x<br />

6<br />

2<br />

− 3)<br />

=<br />

1<br />

3<br />

2 +<br />

11<br />

10. ¿Por qué no se puede hacer lo siguiente: x<br />

2<br />

≥ 4 ⇒ x ≥ 2? ¿Cuál sería la forma correcta de proceder?<br />

65

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