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What are some steps you might take after a solution?
You could try substituting the solution into the original question and check whether it is valid.
Why is it important to always check your solution?
Mathematically you check your solution to make sure you have the correct answer. In some cases the slightest miscalculation could cause a disaster or you could end up with low marks in schoolScientifically it could cause an even larger disaster if you add the wrong amounts of elements together.
How can you check to see if a number is part of the solution set of an inequality?
You replace the variable by the number, do all specified calculations, and then check whether the resulting inequality is true or false. This is basically not very different from checking a solution of an equation.
What do you call the solution of a equation derived from an original equation that is not a solution of the original equation?
That's an extraneous solution. You need to check for these when algebraically solving equations, especially when you take both sides of an equation to a power.
If you multiply both sides of an equation by an expression that involves a variable you must?
check the solution.
