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Write the inequality that represents the sentence: "Five less than a number is greater than 57."

Choose the correct answer below.

A. [tex]x + 5 \geq 57[/tex]

B. [tex]x + 5 \ \textgreater \ 57[/tex]

C. [tex]x - 5 \ \textgreater \ 57[/tex]

D. [tex]x - 5 \geq 57[/tex]

Answer :

To write the inequality that represents the sentence "Five less than a number is greater than 57," let's break it down step-by-step.

1. Identify the unknown number:
- Let [tex]\( x \)[/tex] be the unknown number.

2. Translate the sentence into mathematical language:
- "Five less than a number" can be written as [tex]\( x - 5 \)[/tex], because we are subtracting 5 from [tex]\( x \)[/tex].
- "Is greater than" translates to the inequality symbol [tex]\( > \)[/tex].

3. Combine these parts to form the inequality:
- Therefore, "Five less than a number is greater than 57" becomes [tex]\( x - 5 > 57 \)[/tex].

So, the correct inequality is:
[tex]\[ x - 5 > 57 \][/tex]

This corresponds to option C.

Thus, the correct answer is:
[tex]\[ \boxed{C\: x - 5 > 57} \][/tex]

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