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How can one number be less than another and the absolute values of the number be the same?
Wiki User
∙ 7y ago
If "one number" is negative and "another" is positive and the absolute values are the same, then "one number" will be less (because it is negative) than "another" (because it is positive).
All negative numbers are less than any positive numbers.
Wiki User
∙ 7y ago
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What is triangular inequality of complex number?
The absolute value of the sum of two complex numbers is less than or equal to the sum of their absolute values.
What is a smaller negative?
When comparing negative numbers or a negative number and a positive number, the word "smaller" is confusing because it is unclear whether you mean that the number is less than another number or that the absolute value of the number is less than the absolute value of another number. You should use the phrase "less than" instead. A number's absolute value is how far it is from zero; for negative numbers think of it as the number without the negative sign. Negative eleven is less than negative three because negative eleven is farther left on the number line, but the absolute value of negative three, which is shown as |-3|, is less than the absolute value of negative eleven because negative three is closer to zero.
Is a negative number less than its absolute value?
A negative number is less than its absolute value.
A number that is greater than 13 but less than12?
I think your teacher made a mistake on your paper, this is impossible without considering negatives and absolute values.
Is it true that no negative number is less than its absolute value?
No, it is not true that no negative number is less than its absolute value. In fact, all negative numbers are less than their absolute value. The absolute value of a negative number is always positive.
What if a number is blank then the number is less than the absolute value?
negative
What negative numbers are less than positive numbers. Does this mean that the absolute value of a negative number must be less than the absolute value of a positive number Explain?
No it is not true. The absolute value of a number is simply the value of the number with a positive sign.
No possitive number is less than its absolute value?
True, every positive number is equal to its absolute value. Every negative number will be smaller than its absolute value.
Absolute Inequality 3 plus 4 absolute value of 3x plus 7 is less than or equal to -89?
Do you mean 3 + 4|3x + 7| ≤ - 89? There is no solution to the inequality, since it is a false statement. A positive number cannot be equal or less than a negative number. On the left side, you are dealing only with positive numbers, since the absolute value is always positive, no matter what the values of x are.
Does this means that the absolute value of a negative number must be less than the absolute value of a positive number?
Not sure what "this" is, but the conclusion is false.
Is the absolute value of the sum of two numbers equal to the sum of the absolute values of the numbers?
NO! abs(2-2)=0 NOT equal to abs(2)+abs(-2)=4 - The above is technically correct, though the more thorough answer is as follows; no because the absolute value of the sum is LESS THEN OR EQUAL TO the sum of the absolute values. The simple proof the the fact that |A+B|<=|A|+|B| is called the triangular inequality. When A and B (or for that matter an infinite number of them) are both positive (or all) or both negative (or all) then they inequality is actually equal, if however any of the numbers have different signs then any other number, the inequality is less then.
No negative number is less than its absolute value?
no it can notAnother AnswerThis is not true. Every positive number is equal to its absolute value. Every negative number will be smaller than its absolute value.
