在數線上滿足6<=|3x-5|<17的整數有幾個?

2016-04-19 4:43 pm

回答 (3)

2016-04-20 1:18 pm
✔ 最佳答案
Sol
(1) 3x-5>=0
6<=|3x-5|<17
6<=3x-5<17
11<=3x>22
3.66<=x<7.34
4<=x<=7
7-4+1=4…………..
(2) 3x-5<=0
6<=-3x+5<17
-17<3x-5<=-6
-12<3x<=-1
-4<x<=-0.33
-3<=x<=-1
(-1)-(-3)+1=3……….
4+3=7
2016-04-19 11:58 pm
Sol
(1) 3x-5>=0
6<=|3x-5|<17
6<=3x-5<17
11<=3x>22
3.66<=x<7.34
4<=x<=7
7-4+1=4…………..
(2) 3x-5<=0
6<=-3x+5<17
-17<3x-5<=-6
-12<3x<=-1
-4<x<=-0.33
-3<=x<=-1
(-1)-(-3)+1=3……….
4+3=7
2016-04-20 4:27 am
6<=|3x-5|<17
11<=|3x|<17
11/3<=x<17/3
11/3=3.666666....
17/3=5.666666...
整數有2個,4 and 5


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