SAT Math Multiple Choice Practice Question 520: Answer and Explanation

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Question: 520

19. Which of the following is equivalent to –9 ≤ 3b + 3 ≤ 18?

A. –4 ≤ b ≤ 5
B. –4 ≤ b ≤ 6
C. –3 ≤ b ≤ 5
D. 3 ≤ b ≤ 5
E. 4 ≤ b ≤ 6

Correct Answer: A

Explanation:

A Let's take this one step at a time. First, just concentrate on the right side: 3b + 3 ≤ 18. You can simply treat this like an equation: If you subtract 3 from each side, you get 3b ≤ 15. Now you can divide each side by 3 to get b ≤ 5. This will allow you to eliminate B and E. Now let's focus on the left side: –9 ≤ 3b + 3. Again, let's subtract 3 from each side, which gives you –12 ≤ 3b. By dividing each side by 3, you get –4 ≤ b. This will eliminate C and D, so our answer must be A.

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