2. 外语
  3. What is the largest integer value of t that satisfies the inequality?

What is the largest integer value of t that satisfies the inequality?

admin2013-02-19  2
问题 What is the largest integer value of t that satisfies the inequality?
选项 A、8
B、10
C、18
D、19
E、30
答案D
解析 The correct answer is D. One way to solve this problem is to recognize that, in order for 24/30 to be greater than t/24, t must be less than 24. This is true because any fraction with a denominator larger than or equal to its numerator will always be less than a fraction whose numerator is larger than or equal to its denominator. So, t/24is only less than 24/30 when t is less than 24. Because you are asked for the largest integer value of t and you know that t must be less than 24, the correct answer must be 19. You could also set the values equal to each other, cross-multiply and solve for t, as follows:
24/30=t/24
30t=576
r=19.2
The integer value that makes 24/30 greater than t/24, therefore, is 19.
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