Question

rozwiąż nierównosći

A) x-π≥xπ

B) πy-2<3y+4

C) (√3-1)(√3+1)x≥4√3x-10

Answer 1

A) x-pi>=xpi

x-xpi>=pi

x(1-pi)>=pi

x>=pi/(1-pi)

 

B) piy-2<3y+4

piy-3y<4+2

y(pi-3)<6

y<6/(pi-3)

 

C) (3^(1/2)-1)(3^(1/2)+1)x>=4*3^(1/2)x-10

(9-1)x>=4*3^(1/2)x-10

8x-4*3^(1/2)x>=-10

x(8-4*3^(1/2)>=10

x>= 5/(4-2*3^(1/2))

x>= (5*(4+2*3^(1/2))/4