Question

a.|2x-7|<9
b.2|2x+3|-9<5
​

Answer 1

Răspuns:

a. x apartine (-1 ; 8)

b. x apartine (-5 ; 2)

Explicație pas cu pas:

a. |2x-7|<9

Avem 2 cazuri:

1. 2x-7<9 , daca x >= 3,5

2x < 16

x < 8

2. 2x-7>-9 , daca x < 3,5

2x>-2

x >-1

x < 8 si x > -1, deci x apartine (-1 ; 8)

b. 2|2x+3|-9<5

|2x+3| < 7

1. 2x+3<7, daca x >= -1,5

2x < 4

x < 2

2. 2x+3 > -7 , daca x< -1,5

2x > -10

x > -5

x<2 si x>-5, deci x apartine (-5 ; 2)