Question

primele doua exerciții

Answer 1

Răspuns:

8) |x| ≤ √2

-√2 ≤ x ≤ √2

A=[-√2;√2]

|x-√3| ≤ √3

-√3 ≤ x-√3 ≤ √3 /+√3

0 ≤ x ≤ 2√3

B= [0;2√3]

-1 ≤ 2x+11/5 < 3 /×5

-5 ≤ 2x+11 < 15 /-11

-16 ≤ 2x < 4 /÷2

-8 ≤ x < 2

C= [-8;2)

|x+2|<4

-4 < x+2 < 4 /-2

-6 < x < 2

D= (-6;2)

9) |x| > 2

x < -2 sau x > 2

A= (-∞:-2) U (2;+∞)

|x+1| ≥ 3

x+1 ≤ -3 sau x+1 ≥ 3 /-1

x ≤ -4 sau x ≥ 2

B=(-∞;-4] U [2;+∞)

|2x-3| ≥ 3

2x-3 ≤ -3 sau 2x-3 ≥ 3 \+3

2x ≤ 0 sau 2x ≥ 6 /÷2

x ≤ 0 sau x ≥ 6

C= (-∞;0] U [6;+∞)

|2x-5| > 5

2x-5 < -5 sau 2x-5 > 5 \+5

2x < 0 sau 2x > 10 \÷2

x < 0 sau x > 5

D= (-∞:0) U (5;+∞)