We are given this inequality here,
[tex]5.6+0.4c\leq6c[/tex]
Now we have to check for the given values of c, that is true for this inequality.
1. when c=0
LHS: 5.6 + 0.4c
= 5.6+0.4(0)
=5.6
RHS: 6c =6(0)=0
5.6≤0
Not true for c=0.
2. when c=0.875
LHS: 5.6 + 0.4c
= 5.6+0.4(0.875)
=5.95
RHS: 6(0.875) =5.25
5.95≤5.25
Not true for c=0.875
3. when c=1
LHS: 5.6 + 0.4c
= 5.6+0.4(1)
=6
RHS: 6c =6(1)=6
6≤6
True for c=1.
4. when c=2.5
LHS: 5.6 + 0.4c
= 5.6+0.4(2.5)
=6.6
RHS: 6c =6(2.5)=15
6.6≤15
True for c=2.5.
Answer: The given inequality is true for c=1 and c=2.5
