Difference Between Infinite Solutions and All Real Numbers

Has infinite digits but is equal to 1. Is true only when x 3 so we say that x 3 is the solution to the equation.

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The graphs never intersect - they are parallel lines.

. The equation 2x 3 x x 3 is an example of an equation that has an infinite number of solutions. Show activity on this post. Here is a problem that has an infinite number of solutions.

An equation with infinite solutions means that you can substitute whatever value for the coefficient for the equation to work. The lines are the same. Infinity is not a number.

4 2 5. The notation in calculus is used because it is convenient to write intervals like this in case not all real numbers are required which is quite often the case. If you solve this your.

Similarly is 0 0 infinite or no solution. This happens when all numbers are solutions. For example the equation.

But it may seem more logical to you it does to me to eliminate the constants instead. But its strange because before introducing these ideas Hardy had showed a proof very similar to yours and then after defining real numbers as sections and discussing some properties of them he invited the reader to prove again the. -7x2 -7x2 Add 7x to both sides.

No number is infinite. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy Safety How YouTube works Test new features Press Copyright Contact us Creators. Believe it or not there are other types numbers that arent on the real number line.

What Sal did is went ahead and solved it by eliminating the x terms. In other words it is possible for one infinite set to contain more elements than another infinite set. Real numbers include all rational numbers numbers that can be written like fractions and all irrational numbers numbers that cannot be written like fractions.

X 2 5. The lines are parallel. A solution to an equation is a set of values that makes an equation true.

This equation has no solution. There is no difference. For example the question name a negaitive fraction whose value is greater than -1 has infinitely many answers.

Ben Mai Becca M. The equation 2x 3 x x 3 is an example of an equation that has an infinite number of solutions. And All of those Natural Numbers will be starting with 1 so we will be having other Numbers as well on which No Number will be mapped like 2 or 211 or 79 So This Means Set of Natural Numbers is Grater then Real Numbers Between 0 and 1.

This situation means that there is no one solution. For an answer to have an infinite solution the two equations when you solve will equal 00. Begingroup Oh thanks.

To graph first combine like terms on each side to get the equations y x 2 and y x - 3. Just add 0 as a digit for each place after it stops and go on forever. Unfortunately I think there isnt a proof using the concepts of real numbers I mentioned.

1 1 only the real numbers between -1 and 1 excluding -1 and 1 themselves. If there is one solution then there is only one number that you can substitute to make the equation true. That is why it has an infinite number of solutions.

All real numbers include natural numbers whole numbers integers fractions irrational numbers. By using this Technique we Would be able to Map all Real Numbers Between 0 and 1 on Natural Numbers. In set theory the set of natural numbers set of integers and set of real numbers are said to be infinite sets because all these sets contain infinitely many numbers.

Furthermore is 0 0 infinite or no solution. If you put any other number into the equation for x then it wont be true. Ben Mai Becca M.

So when you say infinitely many solutions this includes imaginary numbers. There is an infinite number of solutions some of which are imaginary numbers and some are real. For an answer to have an infinite solution the two equations when you solve will equal 00.

It is clear that set of real numbers contain more elements than in the set of integers. 1 The two lines may have 1 point of intersection one solution 2 The two lines may have 0 points of intersection no solution. So what Sal is saying is that 22 no matter what x you input.

All real numbers is a subset of that. So Set of Real Numbers. All real numbers can be expressed with a decimal numeral with infinite digits.

Infinitely many solutions could just be all natural numbers or maybe just the real numbers between two boundaries. For example in the equation x2 x must be equal to 2 for the equation to work. 3 The two lines may have an infinite number of intersecting points infinite solutions.

Each of the infinite number of points on the real number line represents a real number.

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