Which value or values for the variable c from the set below will make 5.6 + 0.4c \leqslant 6c true? a. only 2.5 b. 1 and 2.5 c. 0.875, 1, and 2.5 d. all of the values in the set…

Question

Which value or values for the variable c from the set below will make 5.6 + 0.4c


`\leqslant`
6c true?

a. only 2.5
b. 1 and 2.5
c. 0.875, 1, and 2.5
d. all of the values in the set

Answer 1

a. only 2.5
By plugging in all three values, we will find that only 2.5 will create a correct solution of the choices.
5.6+0.4(2.5) < 6(2.5) True
6.6 < 15
5.6+0.4(1) < 6(1) False
6 < 6
5.6+0.4(0.875) < 6(0.875) false
5.95<5.25