Question

A inequality using any of the inequality symbols has an infinite number of solution. An inequality using all but one of the symbols also has an infinite number of nonsolutions, which inequality symbol produces an inequality with an infinite number of no solutions
<
>
=/ (not equal to)

Answer 1

= wasn’t an option

Answer 2

To determine which inequality symbol produces an inequality with an infinite number of no solutions, we can examine each option:

1. **"<" (less than)**: This inequality has solutions. For example, \(x < 5\) has infinite solutions \(x = 4, 3, 2,\) etc.

2. **">" (greater than)**: This inequality also has solutions. For example, \(x > 5\) has infinite solutions \(x = 6, 7, 8,\) etc.

3. **"=" (equal to)**: This equality does not produce an infinite number of solutions. For example, \(x = 5\) has exactly one solution.

4. **"≠" (not equal to)**: This inequality also has infinite non-solutions. For example, \(x ≠ 5\) means that any value other than 5 is a solution, making 5 the only non-solution, but there are infinite numbers of solutions.

However, if we are looking for an inequality that results in an infinite number of non-solutions rather than simply having only a specific value that is not a solution, we must recognize that it is the "equal to" (or equality) symbol that has only one solution and thus produces an infinite number of values that do not satisfy the condition.

So, the answer is:
**= (equal to)** produces an inequality with an infinite number of no solutions.