What Is A Conditional Equation An equation that is true for some value s of the variable s and not true for others Example The equation 2 x 5 9 is conditional because it is only true for x 7 Other values of x do not satisfy the equation See also Identity conditional inequality
Textbook Question The equations in Exercises 79 90 combine the types of equations we have discussed in this section Solve each equation Then state whether the equation is an identity a conditional equation or an inconsistent equation 4 x 2 3x 10 1 x 2 x 6 3 x 2 One of the most frequently used types of statements in mathematics is the so called conditional statement Given statements P and Q a statement of the form If P then Q is called a conditional statement
What Is A Conditional Equation
What Is A Conditional Equation
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A conditional equationis an equation that is satis ed by at least one real number but is not an identity Every equation that we solved in Sections 2 1 and 2 2 is a conditional equation Conditional equation an equation that has a solution contradiction an equation that has no solution identity an equation that is always true What is an Equation An equation is a mathematical statement that asserts the equivalence of two expressions
CONDITIONAL EQUATION An equation that is true for one or more values of the variable and false for all other values of the variable is a conditional equation A conditional equation is an equation that is true for some values of the variable but not true for other values of the variable There are many different
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Is a conditional identity as it is true only for x 3 but not for other values of the variable There is also a third category of equations known as inconsistent equations which are always false for all values of their variable s For example the equation An equation whose truth is conditional upon the value selected for the variable is called a conditional equation Solutions and Solving an Equation The collection of values that make an equation true are called the solutions of the equation An equation is said to be solved when all its solutions have been found
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What Is A Conditional Equation
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An equation that is true for some value s of the variable s and not true for others Example The equation 2 x 5 9 is conditional because it is only true for x 7 Other values of x do not satisfy the equation See also Identity conditional inequality
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Textbook Question The equations in Exercises 79 90 combine the types of equations we have discussed in this section Solve each equation Then state whether the equation is an identity a conditional equation or an inconsistent equation 4 x 2 3x 10 1 x 2 x 6 3 x 2
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What Is A Conditional Equation
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