Question

13. Rezolvă următoarele inecuații:
a) x + 2 > 5, cu x ER;
b) x +4 > 3, cu x ER;
c) -x + 2 <3, cu x ER;
d) x + 2 <7, cu X E N;
e) 2x - 3 > 5, cu x E R;
f) x + 2 > 5x – 6, cu x E R;

Answer 1

x>5 -2

x> 3

x€ (3 ; + infinit)

b) x+4 >3

x> 3 -4

x > -1

x€ ( -1 ; + infinit )

c) -x + 2 < 7

- x < 7 -2

-x < 5

x > 5

x € ( 5 ; + infinit )

d) x + 2< 7

x < 7-2

x < 5

×€ { 4, 3 , 2 , 1 ,0 }

e) 2x-3 > 5

2x > 5+ 3

2x > 8

x > 4

x € ( 4 ; + infinit )

f) x+2 > 5x -6

x - 5x > -6 -2

-4x > -8

-× > -2

x < 2

x € ( - infinit , 2)