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askor
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Is it correct that ##\frac{|x + 1|}{|x + 2|}## equal to ##\left|\frac{x + 1}{x + 2} \right|##?
Please explain, I don't understand.
Thank you
Please explain, I don't understand.
Thank you
Yes, the two expressions are identically equal.askor said:Is it correct that ##\frac{|x + 1|}{|x + 2|}## equal to ##\left|\frac{x + 1}{x + 2} \right|##?
Think about the expressions x + 1 and x + 2. Each of them is negative, zero, or positive, depending on the value of x. Now, as long as ##x \ne -2##, ##\frac{x +1}{x + 2}## will have some value. Does it matter whether we take the absolute values of the numerator and denominator separately, or evaluate the fraction and then take its absolute value?askor said:Please explain, I don't understand.
Absolutely!askor said:Is it correct that ##\frac{|x + 1|}{|x + 2|}## equal to ##\left|\frac{x + 1}{x + 2} \right|##?
Absolute value is a mathematical concept that represents the distance of a number from zero on a number line. It is always a positive value, regardless of the sign of the number.
To find the absolute value of a number, you simply remove the negative sign (if present) and keep the positive value. For example, the absolute value of -5 is 5.
The regular value of a number represents its numerical value, while the absolute value represents its distance from zero. Regular value can be positive or negative, while absolute value is always positive.
Absolute value is used in many real-life situations, such as calculating distances, determining the magnitude of a change, and finding the difference between two values. It is also used in solving equations and inequalities in math.
No, the absolute value of a number is always positive or zero. This is because it represents the distance from zero, which is always positive. Negative numbers can only have a negative regular value, not an absolute value.