Question

Sa se rezolve sa rezolve inecuatiile
2x-3 supra x minus 5 <1 pe 2
5+x supra x<2
X-11 supra 1 minus 2x>3
4x-3 supra 3x> egal 1
4x supra x -1< 4 pe 3-1 supra x-1

Answer 1

Răspuns:

Explicație pas cu pas:

(2x - 3)/(x - 5) < 1/2

2(2x - 3) < x - 5

4x - 6 < x - 5

4x - x < 6 - 5

3x < 1

x < 1/3

_________________

(5 + x)/x < 2

5 + x < 2x

2x - x > 5

x > 5

__________________

(x - 11)/(1 - 2x) > 3

x - 11 > 3(1 - 2x)

x - 11 > 3 - 6x

x + 6x > 3 + 11

7x > 14

x > 14/7

x > 2

____________________

(4x - 3)/3x ≥ 1

4x - 3 ≥ 3x

4x - 3x ≥ 3

x ≥ 3

______________________

4x/(x - 1) < 4/3 - 1/(x - 1)

4x/(x - 1) + 1/(x - 1) < 4/3

(4x + 1)/(x - 1) < 4/3

3(4x + 1) < 4(x - 1)

12x + 3 < 4x - 4

12x - 4x < -3 - 4

8x < -7

x < -7/8