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Q: Can equation and inequality have the same solution?

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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.

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.

-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.

its different

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.

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 equation has an equal sign, which means that we know what the variable is equal to :)

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.

No - It will lead to a contradiction. No - It will lead to a contradiction.

X+9=17;8

Yes, but only when the inequality is not a strict inequality: thatis to say it is a "less than or equal to" or "more than or equal to" inequality. In such cases, the solution to the "or equal to" aspect will satisfy the corresponding inequality.

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.

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

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

The solution.

It is called the solution set.

It is the solution set.

There is no solution because there is no equation (or inequality); only an expression.

No. You have written two quantities. They can't be equal to each other AND also UNequal to each other.

4x + 7 is an expression, not an equation. Only an equation (or an inequality) can have solutions, an expression cannot have a solution.

"30X to 29Y" is not an equation nor an inequality. There is, therefore, not a mathematical solution to the question.

There can be no solution since there is no equation (nor inequality) in the question.

x - 9 is an expression, neither an equation not an inequality. An expression cannot have a solution.

There can be no solution set because there is no equation or inequality, only an expression.

There can be no solution because there is no equation (or inequality) but only an expression.