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
