Test Your Math Skills and Win SBD # 2
If x is negative, which of the following statements must be true?
Note: There may be no or more than one true answers.
- x2 < x4
- x3 < x2
- x + 1/x < 0
- x = √x2
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- Leave your answer in the comments and explain why did you choose this answer.
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the answer is 1
because if we say that x = -2
-24 = 16 > -22 = 4
power removes negative sign i guess
4
ans=2
2
The answer is 2. Multiplying 2 negatives will give you a positive number. Multiplying a third negative will create a negative number.
2
2 & 3 must be true.
1 may be true at times but not always e.g. when x = -1
4 is false as square root of a positive number (i.e. square of a negative number) can not be negative because a radical sign is being used.
2 is always true as a square of a negative is positive whereas a cube will always be negative. So it would always be less than a positive no.
3 is always true as sum of two negatives will always be negative. Hence less than zero.
The answer is 2.