Question

Eight less than four times a number is less than 56. What are the poss

O x> 12
O x < 12
O x<16
O x>16

Answer 1

Answer: Choice C

Choice B is another answer if it is a "choose all that apply" type of situation. If it is a "choose only one answer" question, then I'd stick with choice C.

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Work Shown:

x = some unknown number

4x = four times that number

4x-8 = eight less than the previous expression

4x-8 < 56

4x < 56+8

4x < 64

x < 64/4

x < 16 showing why choice C is the answer

The inequality sign stays the same the entire time. The only time it flips is when we multiply or divide both sides by a negative number.

If this is a "choose all that apply" type of question, then choice B also fits the description of x < 16 since all numbers less than 12 are also automatically less than 16.

In other words: if x < 12, then x < 16. The reverse is not true.