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How can you solve an equation or inequality in one variable? - Answers
The answer depends on the form of the equation and the domain.For example,there is no solution for x + 2 = 0 if the domain is positive integers, but there is if x can be a negative integer.there is no solution for 2x = 1 for integer x but there is if x can be a rational number.there is no solution for x^2 = 2 for rational x but there is if x can be an irrational number.there is no real solution for x^2 = -2 for real x there is if x can be a complex number.There are many other equations in one variable for which cannot be solved.However, for simple equations, you may get a solution by making the same changes to both sides of the equation (with some exceptions, like division by zero, or taking square roots, etc) until you rename one side as the variable.For example, to solve(2x + 3)/5 = 9Multiply both sides by 5: 2x + 3 = 45Subtract 3 from both sides: 2x = 42Divide both sides by 2: x = 21.Solution of inequalities is the same except that if you multiply or divide by a negative number then the inequality changes direction.
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How can you solve an equation or inequality in one variable? - Answers
The answer depends on the form of the equation and the domain.For example,there is no solution for x + 2 = 0 if the domain is positive integers, but there is if x can be a negative integer.there is no solution for 2x = 1 for integer x but there is if x can be a rational number.there is no solution for x^2 = 2 for rational x but there is if x can be an irrational number.there is no real solution for x^2 = -2 for real x there is if x can be a complex number.There are many other equations in one variable for which cannot be solved.However, for simple equations, you may get a solution by making the same changes to both sides of the equation (with some exceptions, like division by zero, or taking square roots, etc) until you rename one side as the variable.For example, to solve(2x + 3)/5 = 9Multiply both sides by 5: 2x + 3 = 45Subtract 3 from both sides: 2x = 42Divide both sides by 2: x = 21.Solution of inequalities is the same except that if you multiply or divide by a negative number then the inequality changes direction.
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How can you solve an equation or inequality in one variable? - Answers
The answer depends on the form of the equation and the domain.For example,there is no solution for x + 2 = 0 if the domain is positive integers, but there is if x can be a negative integer.there is no solution for 2x = 1 for integer x but there is if x can be a rational number.there is no solution for x^2 = 2 for rational x but there is if x can be an irrational number.there is no real solution for x^2 = -2 for real x there is if x can be a complex number.There are many other equations in one variable for which cannot be solved.However, for simple equations, you may get a solution by making the same changes to both sides of the equation (with some exceptions, like division by zero, or taking square roots, etc) until you rename one side as the variable.For example, to solve(2x + 3)/5 = 9Multiply both sides by 5: 2x + 3 = 45Subtract 3 from both sides: 2x = 42Divide both sides by 2: x = 21.Solution of inequalities is the same except that if you multiply or divide by a negative number then the inequality changes direction.
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