## Thursday, 20 February 2014

### Algebra... Which is larger? (II)

Jennifer says, "5x2  is always smaller than  (-5x)2. "

This question is compulsory.

1. No. x might be a negative number.

2. No because when negative times with each other, it will become positive. Because negative = to 1 stroke and if there is two negative, it equals to positive because positive is 2 strokes but if it has 3 negative, it becomes three stroke, which equals to negative. odd numbers of strokes = to negative and even number of strokes = to positive

3. no. X could be a negative number

4. No. Because 5x^2 is a positive number. Whereas -5x^2 is a negative number.

5. No, X can be a negative number and when negative times negative, it will become positive. It will then be larger than 5x to the power of two.

6. It might not be the case because the X varies hence it can change the product of the number.

7. No. X might be a negative number. -5 times -X is same as 5X.

So, 5X^2 = (-5X)^2

8. No. if x is -2, 5x-2^2 will be 100, while -5x-2^2 is -100, therefore 5x^2 is not always smaller than (-5x)^2.

9. no,x could be a negative number

10. No. X might be a negative number which causes the answer to be smaller.

11. I do not agree as "x" could be any number and is not defined. For example, if "x" was -1000, (-5x)^2 would be larger than 5x^2. Therefore it depends on what number "x" is. The main thing that defines the answer to this question is the value of "x", but since "x" is not defined, there is no certain way of figuring out the answer to this question.

12. no as if the number is a negative number, both the numbers will give the same answer

13. no as x is a negative number and may be smaller than the other number

14. i do not agree for is X is a positive number then 5 times X to the power of 2 is greater than negative 5 times X to the power of 2

15. no . X might be a negative number
for example: X =-3
(5 X-3)^2
= -15^2
= -225
(-5 X -3)^2
=15^2
=225