maths ~~~~~~

2014-07-14 9:24 am
1. x + 3 > 2
X = ______

2. x - 2 > 3
x = ______

3.Write each of the following in algebraic form :
(a) The sum of x and y ( x < y ) is multiplied by their difference .
(b) The square of the difference between x and 3y ( x > 3y ) .

4. 2 ( x + 1 ) > 4
X = _____

5. 7x - 9 > 9x + 7
x = ______

6.Danny has 14 model cars .
(a) As his mother is worried that he will spend too much money on model cars , she proposes the following to Danny :
" The maximum number of model cars that Danny can have is 20 . "
Let the total number of model cars that Danny can have be x .
( i ) Write an inequality to represent this situation .
( ii ) Hence find at most how many more model cars he can have .

(b) However , he makes the following counter - proposal :
" Apart from the condition stated above , I would like the total number of model cars to be greater than 17 . "
( i ) How many model cars can he have under this situation ?
( ii ) Hence find at least how many more model cars he can have .

回答 (3)

2014-07-14 12:45 pm
✔ 最佳答案
1.
x + 3 > 2
x > -1


=====
2. x - 2 > 3
x > 5


=====
3.
(a)
(x + y)(y - x)

(b)
(x - 3y)²


=====
4.
2 ( x + 1 ) > 4
x + 1 > 2
x > 1


=====
5.
7x - 9 > 9x + 7
2x < -16
x < -8


=====
6.
(a)(i)
x ≤ 20

(a)(ii)
Let n be the number of model cars he can have.
x ≤ 20
14 + n ≤ 20
n ≤ 6

Hence, he can have at most 6 more model cars.

(b)(i)
17 < x ≤ 20

(b)(ii)
Let m be the number of model cars he can have.
x < 17
14 + m > 17
m > 3

Hence, he can have at least 3 more model cars.

2014-07-14 04:47:04 補充:
Amendment :

5.
(b)(ii)
Let m be the number of model cars he can have.
x < 17
14 + m > 17
m > 3

Hence, he can have at least 4 more model cars.
參考: 土扁, 土扁
2014-07-15 5:01 am
可能係電腦功課,就咁 copy 落黎?
2014-07-14 10:32 pm
點解你咁好心機打入機,不如諗下計左佢。可能花時間仲短。


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