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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.
If you replace the equal sign of an equation an put an inequality sign in its place is there ever a time when the same value will be a solution to both the equation and inequality?
Yes, when the inequality has a less that or equal to sign, or a greater than sign or equal to sign, then the equal sign can be replaced and get a solution that is common to both the equation and the inequality. There can also be other solutions to the inequality, where as the solution for the equation will be a valid one.
What is the answer for -15 plus x100?
-15 + x100 is an expression, not an equation nor inequality. There is, therefore, no solution.-15 + x100 is an expression, not an equation nor inequality. There is, therefore, no solution.-15 + x100 is an expression, not an equation nor inequality. There is, therefore, no solution.-15 + x100 is an expression, not an equation nor inequality. There is, therefore, no solution.
How does the solution to an equation compare to the solution to an inequality?
its different
How does the solution to an inequality differ from the solution to an equation?
The solution to an inequality generally is a region with one more dimension. If the inequality/equation is of the form x < a or x = a then the solution to the inequality is the 1 dimensional line segment while the solution to the equality is a point which has no dimensions. If the inequality/equation is in 2 dimensions, the solution to the inequality is an area whereas the solution to the equality is a 1-d line or curve. And so on, in higher dimensional spaces.
