# SAT Math Multiple Choice Question 817: Answer and Explanation

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**Question: 817**

**7.**

Which of the following correctly describes the possible values of *k* in the inequality above?

- A.
- B.
- C.
- D.

**Correct Answer:** C

**Explanation:**

**C**

**Difficulty:** Medium

**Category:** Heart of Algebra / Inequalities

**Strategic Advice:** Although cross-multiplication is an appropriate strategy when you have a fractional expression on each side of the equal sign, simplifying the numerators first will save a few steps and avoid some potential errors.

**Getting to the Answer:** Start by distributing the 2 on the left side and by adding 6 + 5 on the right side. Then cross-multiply to eliminate the denominators. Finally, solve for *k* using inverse operations. Don't forget-if you multiply or divide by a negative number at any point during the process, you must reverse the inequality symbol:

(C) is correct.