#### To determine

If provided statement is true or false.

#### Answer

**Solution**: True.

#### Explanation

**Given**: coshx≥1 for all x.

Since coshx=ex+e−x2 is always greater than or equal to 1.

Example put x=0,1,2

cosh(0)=1cosh(1)=1⋅543cosh(2)=3⋅762

**Conclusion**: Given statement is true because ex+e−x2 is always greater than or equal to 1 .