# SAT Math Multiple Choice Question 812: Answer and Explanation

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**Question: 812**

**2.** Which of the following numbers is not a solution to the inequality?

- A. -8
- B. -5
- C. -4
- D. -2

**Correct Answer:** D

**Explanation:**

**D**

**Difficulty:** Easy

**Category:** Heart of Algebra / Inequalities

**Strategic Advice:** Substituting each answer choice into the inequality to see if it produces a true statement is not the most time-efficient strategy here, especially due to all the negative numbers in the answer choices. Instead, use inverse operations to solve the inequality and then check the answer choices.

**Getting to the Answer:** Subtracting 6*x* and adding 5 to both sides of 6*x* - 9 ≥ 7x - 5 yields -4 ≥ *x*. Turn the solution around so it's easier to read (keep the small end of the inequality pointed toward the *x*): *x* ≤ -4. This tells you that *x* is a solution if and only if *x* is less than or equal to -4. The question asks which value is *not* a solution, and the only answer choice that is not less than or equal to -4 is -2, making (D) the correct answer.