Question

What are differences of rational equation and rational inequalities?
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Answer 1

Answer:

Rational functions are those functions that are the division of two polynomials. To solve an equation involving rational functions, we cross multiply the numerators and denominators. ... To solve an inequality involving rational functions, we set our numerator and denominator to 0 and solve them separately.

Step-by-step explanation:

Answer 2

There are some distinctions between rational equations and rational inequalities.

Step-by-step explanation:

• Inequalities and equations differ in terms of their definitions, which affect how they are used in mathematical issues. Equations are used to symbolically depict the equality of the two sets of variables utilized, whereas inequalities are used to represent the uneven relationship between a set of variables.

Symbols:

1. Inequalities: The symbols for larger than and less than are used to represent the connection between variables.
2. Equations: The 'equal to' sign is used to represent the relationship between variables symbolically.

Solutions:

1. Inequalities: A feasible result for inequality is a solution set - with infinite answers.
2. Equations: An equation's solution is fixed and single.

Number of Roots:

1. Inequalities: For inequalities, the total number of roots is unlimited.
2. Equations: For equations, the total number of roots is definite.