Solve the inequality:
`sqrt(x+2)+sqrt(x-5)gesqrt(5-x)`

Investigating the domain of definition of functions. (a) Solve the inequality sqrt(x+2) +sqrt(x-5) ge sqrt(5-x) (b) Prove that the equality log_(2-x) (x-3) ge -5 has no solution.

Solve the inequality: 4/(|x-2|)gt5

sqrt(x)+sqrt(5+x)=15/sqrt(5+x)

sqrt(x)+sqrt(5+x)=15/sqrt(5+x)

Solve the inequality sin2x>sqrt(2)sin^(2)x+(2-sqrt(2))cos^(2)x

Solve the equation sqrt(2x-1)+sqrt(3x-2)=sqrt(4x-3)+sqrt(5x-4).

Solve the inequation sqrt((x+14))lt(x+2)

Solve the inequation: |x|le5

Solve the inequation: |x|gt5

Solve the inequation: |x-2|le5