Question

Which of the given values will make the inequality n – 93 > 175 true? Select all that apply.

A) n > 268
B) n > 268
C) n < -82
D) n < -82

Answer 1

To make the inequality n – 93 > 175 true, n must be greater than 268. Options A and B are correct because they both state n > 268, which satisfies the inequality. Options C and D are incorrect and are the same, stating n < -82, which does not satisfy the inequality.

Step-by-step explanation:

To solve the inequality n – 93 > 175, we must isolate the variable n on one side of the inequality. We start by adding 93 to both sides:

n – 93 + 93 > 175 + 93

This simplifies to:

n > 268

Therefore, the values of n that would make the inequality true are those that are greater than 268.

When examining the options provided, the correct choices would be:

• A) n > 268: Correct, because it states exactly what we've determined.
• B) n > 268: Correct, although it’s a repeat of option A.
• C) n < -82: Incorrect, because it does not satisfy the inequality we've solved.
• D) n < -82: Incorrect, and a repeat of option C.