please solve the following inequality~ thx
(x-2)/2 is less than (3x+4)/3 is less than (6x-4)/6
(((becoz i cannot type the symbol of is less than,,, so i use words instead,,,hope u will understand)))
inequalities~~~a...maths
2006-10-18 4:03 am
回答 (3)
2006-10-18 6:30 pm
(x-2)/2 is less than (3x+4)/3:
(x - 2) / 2 < (3x + 4) / 3
3(x - 2) < 2(3x + 4)
3x - 6 < 6x + 8
3x - 6x < 8 + 6
-3x < 14
x > 14 / (-3)
(3x+4)/3 is less than (6x-4)/6:
3 < (6x - 4) / 6
3 < (3x- 2)/ 3
9 < 3x - 2
11 < 3x
3x > 11
x > 11 / 3
(x - 2) / 2 < (3x + 4) / 3
3(x - 2) < 2(3x + 4)
3x - 6 < 6x + 8
3x - 6x < 8 + 6
-3x < 14
x > 14 / (-3)
(3x+4)/3 is less than (6x-4)/6:
3 < (6x - 4) / 6
3 < (3x- 2)/ 3
9 < 3x - 2
11 < 3x
3x > 11
x > 11 / 3
2006-10-18 7:56 am
(x-2)/2＜(3x+4)/3＜(6x-4)/6 all terms times 6
3x-6 ＜ 6x+8 ＜ 6x-4
i.e. 3x-6 ＜ 6x+8 and 6x+8 ＜ 6x-4
-14 ＜ 3x and 8 ＜ -4
Bcos 8 ＜ -4 is impossible, so there is no solution for the inequalities above.
3x-6 ＜ 6x+8 ＜ 6x-4
i.e. 3x-6 ＜ 6x+8 and 6x+8 ＜ 6x-4
-14 ＜ 3x and 8 ＜ -4
Bcos 8 ＜ -4 is impossible, so there is no solution for the inequalities above.
2006-10-18 4:10 am
(x-2)/2＜(3x+4)/3
3(x-2)＜2(3x+4)
3x-6＜6x+8
-3x＜14
x＞14/3
3＜(6x-4)/6
3＜(3x-2)/3
9＜3x-2
-3x＜-11
x＞11/3
3(x-2)＜2(3x+4)
3x-6＜6x+8
-3x＜14
x＞14/3
3＜(6x-4)/6
3＜(3x-2)/3
9＜3x-2
-3x＜-11
x＞11/3
參考: Calculation
收錄日期: 2021-04-12 22:40:56
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