Question

Prove the inequality. c+ 1/c ≥2 for c>0

Answer 1

Answer:

Step-by-step explanation:

Given c+1/c ≥ 2 for c> 0

Form a table for vales of c with corresponding values that are true to the equation

when c=1 the inequality will be

1+1/1 ≥ 2

2 ≥ 2 ----------------true

when c=2

2+1/2 ≥ 2

2.5 ≥ 2 -------------------true

when c=3

3+1/3 ≥ 2

3.33 ≥ 2

where c =-1

-1 + 1/-1 ≥ 2

-1 + -1 ≥ 2

-2 ≥ 2 --------------false

where c=-2

-2 + 1/-2 ≥ 2

-2.5 ≥ 2---------------false

Hence the inequality only holds for values of c>0