Can you explain the inequalities in exponential functions?

[stukbv]

Hello, could somebody please explain to me how

1-exp(-μt) ≤ μt

and similarly

(1-exp(-μt))exp(-λt) ≥ μt-μ²t²\2)(1-λt)

Thanks a lot

 

[Office_Shredder]

You haven't said what you want explained...

 

[stukbv]

Sorry, I just want to know why they're true, they are in my lecture notes and I can't work out why we know these inequalities hold.