# SAT Math Multiple Choice Question 821: Answer and Explanation

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**Question: 821**

**11.** If, what is the greatest possible integer value of the expression 10*m* – 5?

- A. 6
- B. 7
- C. 10
- D. 12

**Correct Answer:** D

**Explanation:**

**D**

**Difficulty:** Medium

**Category:** Heart of Algebra / Inequalities

**Strategic Advice:** You could solve the compound inequality for *m* and substitute the result into the expression 10*m* - 5, but there is a quicker way to answer a question like this. Look for a relationship between what you're given, the possible values of -2*m* + 1, and what you're looking for, the possible values of 10*m* - 5.

**Getting to the Answer:** Notice that 10*m* - 5 is -5 times the expression -2*m* + 1. This means you can answer the question by multiplying all three pieces of the inequality by -5. Don't forget to flip the inequality symbols because you are multiplying by a negative number. Then write the inequality with increasing values from left to right:

The question asks for the greatest possible *integer* value, so the correct answer is 12, which is (D).