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Is it possible to check all the numbers that are solutions of an inequality?
Not unless you have an infinite amount of time as there are an infinite amount of numbers that are solutions to an inequality.
How many solution does a linear inequality in one variable have?
Inequalities tend to have infinitely many solutions.
How many solutions does a linear inequality with two variables have?
Infinite.
How many real solutions does -42 have?
None. -42 is a single integer, not an equation nor an inequality. So there are no solutions.
How would you prove that an inequality does have the same solution that an equation would have?
If you're given the inequality and the equation, then the way to prove that they have the same solution is to solve each one and show that the solutions are the same number. Don't strain yourself, though. An inequality and an equation never have the same solution.
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