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What is a statement that compares two expressions by using or any other inequality sign?
Wiki User
∙ 7y ago
That is called an inequality.
Wiki User
∙ 7y ago
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What is the difference between inequalities and equations?
Equation: A statement that asserts that two mathematical expressions are equal in value. If this is true for all values of the variables involved then it is called an identity, and where it is only true for some values it is called a conditional equation. Inequality: A statement that uses the symbols > (greater than), < (less than), ≥ (greater than or equal to), ≤ ( less than or equal to) to indicate that one of the quantity is larger or smaller than another. An inequality holds for all values of the variables involved. If a statement that uses one of the symbols above holds only for some values of the variables involved then it is called an inequation. An inequality is comparable to an identity. If you'd want to put it into easier kid friendly words, an inequality is a statement where two sides of the inequality are not equal. Equations on the other hand, two sides should always be equal, no mater how messed up hard one side might look to you. Trust me I've been there.
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.
Do you solve an expression the same way you solve an equation?
If we are talking about the algebraic expressions, then an expression can be simplified or be evaluated for specific values of its variables, while an equation need to be solved, in other words to find the values of the variables that make the equation a true statement. If we are solving an equation, then we can work in the same way that we can simplify an expression (since an equation is a statement that states that two expressions are equal), or factoring an expression.
How to write an equation?
Write down any two mathematical expressions, making sure that at least one of them contains an unknown quantity, and write the statement saying that they're equal to each other.
How do you determine which area of the graph of an inequality?
Choose any point and substitute its coordinate into the inequality. If the inequality remains TRUE then the region containing the inequality is the one that you want. If it is false, then you want the region on the other side of the line. You can choose any point in the plane and substitute its coordinates into the inequality. The origin is usually the simplest.
How do you solve linear inequality?
That's going to depend on what statement the inequality itself makes, and on what you are required to find as a solution. There is no general rule for every exercise that involves an inequality. Sadly, you have no other choice but to use your brain every time.
What is the difference between inequalities and equations?
Equation: A statement that asserts that two mathematical expressions are equal in value. If this is true for all values of the variables involved then it is called an identity, and where it is only true for some values it is called a conditional equation. Inequality: A statement that uses the symbols > (greater than), < (less than), ≥ (greater than or equal to), ≤ ( less than or equal to) to indicate that one of the quantity is larger or smaller than another. An inequality holds for all values of the variables involved. If a statement that uses one of the symbols above holds only for some values of the variables involved then it is called an inequation. An inequality is comparable to an identity. If you'd want to put it into easier kid friendly words, an inequality is a statement where two sides of the inequality are not equal. Equations on the other hand, two sides should always be equal, no mater how messed up hard one side might look to you. Trust me I've been there.
What statement best compares Douglass and the other men who work for Mr Freeland?
All recognized that the ability to read was a desirable skill.
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.
In what way is an inequality different from an equation?
In that it uses an inequality sign (less then, greater than, less-than-or-equal, greater-than-or-equal) instead of an equality sign. When solving, special care must be taken - when multiplying or dividing both sides of an inequality by a negative number, the direction of the inequality sign changes.
Do you solve an expression the same way you solve an equation?
If we are talking about the algebraic expressions, then an expression can be simplified or be evaluated for specific values of its variables, while an equation need to be solved, in other words to find the values of the variables that make the equation a true statement. If we are solving an equation, then we can work in the same way that we can simplify an expression (since an equation is a statement that states that two expressions are equal), or factoring an expression.
How to write an equation?
Write down any two mathematical expressions, making sure that at least one of them contains an unknown quantity, and write the statement saying that they're equal to each other.
How do you factorise these expressions?
In the same way that you would factorise any other expressions that do not contain an equality sign depending on the expressions of which none have been given.
What does a dashed line represent on a graph?
It can represent the graph of a strict inequality where the inequality is satisfied by the area on one side of the dashed line and not on the other. Points on the line do not satisfy the inequality.
How do you determine which area of the graph of an inequality?
Choose any point and substitute its coordinate into the inequality. If the inequality remains TRUE then the region containing the inequality is the one that you want. If it is false, then you want the region on the other side of the line. You can choose any point in the plane and substitute its coordinates into the inequality. The origin is usually the simplest.
How do you solve a two variable inequality?
The simplest way is probably to plot the corresponding equality in the coordinate plane. One side of this graph will be part of the feasible region and the other will not. Points on the line itself will not be in the feasible region if the inequality is strict (< or >) and they will be if the inequality is not strict (≤ or ≥). You may be able to rewrite the inequality to express one of the variables in terms of the other. This may be far from simple if the inequality is non-linear.
What are two expressions that equal to each other?
An equation.
