Problems can have infinite solutions when the conditions or constraints allow for multiple valid outcomes, such as in linear equations with free variables. Conversely, problems may have no solutions if the requirements contradict each other, making it impossible to satisfy all conditions simultaneously. For example, a set of equations may be inconsistent, or a geometric configuration may not be feasible. This variability highlights the complexity of problem-solving in mathematics and logic.
Not unless you have an infinite amount of time as there are an infinite amount of numbers that are solutions to an inequality.
it means you can never run out of possible solutions - there are an infinite number of them.
If the equation is an identity.
This question has an infinite number of solutions !
Infinite.
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An infinite solution means that are an infinite number of values that are solutions.
It depends on the equation. Also, the domain must be such that is supports an infinite number of solutions. A quadratic equation, for example, has no real solution if its discriminant is negative. It cannot have an infinite number of solutions. Many trigonometric equations are periodic and consequently have an infinite number of solutions - provided the domain is also infinite. A function defined as follows: f(x) = 1 if x is real f(x) = 0 if x is not real has no real solutions but an infinite number of solutions in complex numbers.
The equation or a system of equations having infinite solutions is called identity/identities. (a+b)^2=a^2+2ab+b^2 is an identity. It has infinite solutions. The equation is true for all values of a and b.
an infinite number of solutions
An identity equation has infinite solutions.
Not unless you have an infinite amount of time as there are an infinite amount of numbers that are solutions to an inequality.
No, this is not necessarily the case. A function can have an infinite range of solutions but not an infinite domain. This means that not every ordered pair would be a solution.
They have an infinite number of solutions.
Infinite.
infinite amount
The equation or a system of equations having infinite solutions is called identity/identities. (a+b)^2=a^2+2ab+b^2 is an identity. It has infinite solutions. The equation is true for all values of a and b.