Solve the inequalities

Question

Solve the following inequalities and explain each step of solution and checking:

√(〖9-x〗^3 )≥6

Answer 1

√(〖9-x〗^3 )≥6

 

square both sides

 

(〖9-x〗^3 )≥  36

 

Take the cube root of both sides

 

9-x ≥ 3.302

 

x ≥ 5.698

 

You could also leave the cube root of 36 as part of the answer