Even though there may be infinitely many solutions, there may be a simple way to summarise the set that they form.
For example, solve x is evenly divisible by 2. The solution is the set of all even numbers.
Or solve |x - 3| < 1. This is the set of all numbers that are less than 1 unit away from the number 3. Although there are infinitely many of them, the set is described by 2 < X< 4.
Chat with our AI personalities
infinitely many solutions :)
An equation can be determine to have no solution or infinitely many solutions by using the square rule.
Infinitely many.
An equation must have 1, 0, or infinitely many solutions. So if you find 1 and there is another, you have know it has infinitely many. For example. 0x+2=2 I solve this and the equations become 0x=0 Now, 1 is a solutions, but so is 2. I now know there are infinitely many. How about 0x+2=3. No solution and 2x+2=4, has one solution. I put those two here so you might try other numbers and see that they have no solutions and one solution. A special type of equation known as an identity is an equation that holds for all numbers. This means it has infinitely many solutions.
it means you can never run out of possible solutions - there are an infinite number of them.