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Q: How is solving for a specified variable in a formula different to finding a solution for an equation or inequality?

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-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.

There can be no solution set because there is no equation nor an inequality - only an expression.There can be no solution set because there is no equation nor an inequality - only an expression.There can be no solution set because there is no equation nor an inequality - only an expression.There can be no solution set because there is no equation nor an inequality - only an expression.

In solving an inequality you generally use the same methods as for solving an equation. The main difference is that when you multiply or divide each side by a negative, you have to switch the direction of the inequality sign. The solution to an equation is often a single value, but the solution to an inequality is usually an infinite set of numbers, such as x>3.

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.

An algebraic equation or inequality can have a solution, an algebraic expression cannot. If substituting a number in place of a variable results in the equation or inequality being a true statement, then that number is a solution of the equation or inequality.

X+9=17;8

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.

2 is a solution of the equation, but not if it's an inequality.

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.

A set would not normally have a solution. An equation or an inequality might.

With a formula, you know the variable's value, and you have to calculate the value of the function of it. With an equation, you know the function's value, and you have to calculate the value of the variable.

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