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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.
Is an equation true if the expressions on each side of the equal sign have the same value?
Yes, that is the point of equations. However, inequalities can also be manipulated to keep the indicator correct.
What are the similarities of equation and inequalities?
They both: - have variables, - are open sentences, - consist of two expressions joined by a "verb" (equals or inequality sign), - have solution sets (which may be empty or have one or more elements).
What are the two rules for inequalities which do not occur in equations?
Inequalities are not reflexive. Inequalities are not commutative.
What is Two or more inequalities?
Two or more inequalities are mathematical expressions that compare different quantities and establish relationships between them, often using symbols like <, >, ≤, or ≥. When combined, they can be used to define a range of possible values for a variable. These combined inequalities can be solved simultaneously to find values that satisfy all given conditions, often represented graphically as shaded regions on a number line or coordinate plane. Such systems are commonly used in optimization problems and real-world applications.
How do you solve these trinomials x2-x-63 and x2-3-54?
There are no equations nor inequalities in the question only trinomial expressions. Expressions cannot be solved.
When replacing variable with constant?
Rewrite the expressions, equations or inequalities where the constant takes the place of each occurrence of the variable.
Mathematical sentence that compares expressions that are equal?
It is called an equation. Sometimes it is called an equality to differentiate from inequalities such as x > 10.
How are word problems with equations different from word problems with expressions?
It may be possible to solve equations. Expressions cannot be solved until they are converted, with additional information, into equations or inequalities which may have solutions.
Compare and contrast equations and inequalities?
Inequalities and equations are both the same because they are both mathematical expression and they both use the same steps EXCEPT for the end. Inequalities and equations are both different because equations have an equal sign, the answer is not an interval, and the answer is a specific answer. Not a range. While inequalities don't have an equal sign, its answer is an interval, and it's answer is in a range.
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.
Solve the expression 3i 5-2i?
Expressions cannot be solved. Only equations or inequalities may be solved. Also, there is no symbol between 3i and 5.
What is the answer of 8c plus 4b 56 - 16b?
There is no answer because the question contains what appear to be two expressions in 2 variables. There are no equations nor inequalities and so there is nothing which can be solved.
Is an equation true if the expressions on each side of the equal sign have the same value?
Yes, that is the point of equations. However, inequalities can also be manipulated to keep the indicator correct.
How can algebraic expressions equations and inequalities help us to better understand real life situations?
it help us in this life because we can be able to use signs and alphabet to represent data
What are the similarities of equation and inequalities?
They both: - have variables, - are open sentences, - consist of two expressions joined by a "verb" (equals or inequality sign), - have solution sets (which may be empty or have one or more elements).
What are the two rules for inequalities which do not occur in equations?
Inequalities are not reflexive. Inequalities are not commutative.
