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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.

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โˆ™ 2010-10-29 02:30:09
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Q: 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?
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If you replace the equal sign of an equation and 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?

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


If you replace the equal sign of equation with inequality sign is there ever a time when the same value will be a solution to both the equation and the inequality?

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


Is there ever a time when the same value will be a solution for both the equation and the inequality?

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.


Why do we represent the solution to an inequality with a graph on a number line but we don't do the same for the solution to an equation?

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


What is the difference between an expression and equation and an inequality?

simply put, an expression has no "equal to" sign (=). and equation has the "equal" to sign and and inequality has either one of these signs <, >


Define solution of a linear inequality in two variable?

If the equal sign in a linear equation in two variables is replaced with an inequality symbol, the result is a linear inequality in two variables. 3x-2y>7 x<-5


Is a number an expression equation or inequality?

A number is an expression. It is not an equation, or an inequality, since it doesn't have an equal sign, or an inequality (greater than, less than, etc.) sign.


Can equation and inequality have the same solution?

No, inequalities have more than, less then, at least, or no more than signs. Equations just have equal signs. An inequality answer can't be written as just a number it has to have a sign with it.


What does inequality mean in math terms?

An inequality is similar to an equation, except that instead of an equal sign, it uses one of the following signs: * less-than * less-than-or-equal * greater-than * greater-than-or-equal


Is a inequality an expression or an equation?

An expression due to the lack of the equal sign.


When graphing a linear inequality the first step is to replace the inequality symbol with what sign?

With the equal sign (=).


How does solving linear inequality differ from solving linear equation?

Linear inequalities are equations, but instead of an equal sign, it has either a greater than, greater than or equal to, less than, or a less than or equal to sign. Both can be graphed. Solving linear equations mainly differs from solving linear inequalities in the form of the solution. 1. Linear equation. For each linear equation in x, there is only one value of x (solution) that makes the equation true. The equation: x - 3 = 7 has one solution, that is x = 10. The equation: 3x + 4 = 13 has one solution that is x = 3. 2. Linear inequality. On the contrary, a linear inequality has an infinity of solutions, meaning there is an infinity of value of x that make the inequality true. All these x values constitute the "solution set" of the inequality. The answers of a linear inequality are expressed in the form of intervals. The linear inequality x + 5 < 9 has as solution: x < 4. The solution set of this inequality is the interval (-infinity, 4) The inequality 4x - 3 > 5 has as solution x > 2. The solution set is the interval (2, +infinity). The intervals can be open, closed, and half closed. The open interval (1, 4) ; the 2 endpoints 1 and 4 are not included in the solution set. The closed interval [-2, 5] ; the 2 end points -2 and 5 are included. The half-closed interval [3, +infinity) ; the end point 3 is included.


Is the quotient of tirty-five and a number t is less than or equal to seven and equation or inequality?

It is considered an inequality.


Is -6 a solution to the inequality x is greater than or equal to 6?

No.


How are equations different from inequalities?

Equations are statements that state two expressions are equal, while inequalities are statements that state two expressions are not equal, meaning one is greater or less than the other. The graph of the solution set of an equation is a line or a curve, while the graph of the solution set of an inequality is a region at one side of the boundary line or curve obtained by supposing that the inequality was an equation.


A mathematical sentence that compares expressions that are equal?

An equation. your an idoit its inequality


What is the solution to the inequality x2 equals 16?

If x2 = 16 then this is not written as an inequality.An inequality tells us that one thing is not equal to another.The above is an equation, because it is telling us that one thing is equal to another.If x2 = 16 then x = 4 & -4.


When will the graph of an equation inequality be a dotted line?

The line is dotted when the inequality is a strict inequality, ie it is either "less than" (<) or "greater than" (>). If there is an equality in the inequality, ie "less than or equal to" (≤), "greater than or equal to" (≥) or "equal to" (=) then the line is drawn as a solid line.


How is an equation different from an inequality?

In an equation, what is to the left of the equals sign equals what is to the right. In an inequality, the left side is either less than, greater than, less than or equal to, or greater than or equal to the right side.


What is the solution to the inequality x squared is not equal to 36?

x ∉ {-6, 6}


What is the solution to the equation y equals -2.5?

y = -2.5 is a equation. And solution to the equation is finding the value of the variable. If we see the equation y is already equal to -2.5 which is the solution to the equation.


What is inequality in algebric equation?

An inequality is similar to an equation, in that it compares two expressions. But in an equality, instead of an equal sign, you would usually use one out of the following inequality symbols:* less than * less than or equal * greater than * greater than or equal


What is the equation called when you use greater than less than or equal to?

This is called an inequality.


Is -5 a solution to this inequality x3?

"x3" is not an inequality. An inequality will have one of the following signs: less-than, less-than-or-equal, greater-than, greater-than-or-equal. for example: 3x - 5 < 15


What is a number x is at most -10?

If you want that as an inequality, you write:x <= -10 You can replace "<=" with the corresponding inequality symbol (less than or equal).