F3 inequalities

2007-12-08 6:55 am
a) Solve the inequality
9/2t+8 greater than or equal to 15/2t
我計到t=8/3

b)Using the result of part(a), solve the inequality
9/2(2x-1)+8 greater than or equal to 15/2(2x-1)

回答 (1)

2007-12-08 7:01 am
✔ 最佳答案
9/2t +8 >= 15/2t
9+16t>=15
t>=3/8 (大過或等於8分之3)

其實 b part 只不過是將 2x-1 取代 t

9/2(2x-1)+8 >= 15/2(2x-1)
2x-1 >= 3/8
2x >= 11/8
x >= 11/16

2007-12-07 23:08:07 補充:
留意如果將 2x-1 取代 t, 兩條算式會完全相等, 所以可直接用 part a result


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