Question

Which value or values for the variable c from the set below will make 5.6 + 0.4c ≤ to 6c true? {0, 0.875, 1, 2.5

Answer 1

We are given this inequality here,

$5.6+0.4c\leq6c$

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

Answer 2

The answer will be 1, 0.875, 0.

Explanation:
5.6 + 0.4(1)=6
5.6+0.4(0.875)=5.95
5.6+0.4(0)= 5.6