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  3. What is the largest integer value of t that satisfies the inequality[img]2014m5x

What is the largest integer value of t that satisfies the inequality[img]2014m5x

游客2025-02-24  25
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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