Question

Which inequality represents the translation of the following sentence: "12 less than a number is greater than that same number divided by two"?

A) x - 12 > x/2
B) x - 12 < x/2
C) x/2 > x - 12
D) x/2 < x - 12

Answer 1

The inequality that represents the translation of the sentence is x - 12 > x/2.

Step-by-step explanation:

The inequality that represents the translation of the given sentence is x - 12 > x/2, which corresponds to option A. To understand this, let's break down the sentence:

• A number subtracted by 12 is greater than that same number divided by two.

In terms of inequality notation, 'a number subtracted by 12' can be represented as x - 12, and 'is greater than' can be represented as >. Lastly, 'that same number divided by two' can be represented as x/2. Therefore, the correct inequality is x - 12 > x/2.