Linear Inequalities A linear inequality is the combination of variable, constant and operation with inequality sign > (greater than), < (lesser than), â&#x2030;Ľ (greater than or equal to) and ⊽ (lesser than or equal to) where the highest power of the variable is one i.e. a linear inequality always has a degree one. For example: x + 3 > 4 is an example of linear inequality. Solving Linear Inequalities is similar tosolving linear equations. Our main aim is to get the variable on one side of the inequality and the numbers on the other side. If in an inequality -1 < 2 we subtract -2 on both sides we get -3 < 0 and still the inequality holds. There are some properties of inequality which a student need to remember in order to solve an inequality. Know More About Height of an Equilateral Triangle
Properties of Linear Inequalities Subtraction property : If you subtract same number from each side of inequality the inequality still holds. If a < b than a - c < b - c. Similarly for other inequality signs. Addition property :If you add same number to each side of the inequality, the inequality still holds. If a< b than a + b < b + c. Similarly for other inequality signs. Multiplication property : If you multiply each side of the inequality by a positive number the direction of inequality remains unchanged. But if you multiply each side of the inequality by a negative number the direction of inequality sign changes. If a < b than a * c < b * c. However, if a < b than a * (-c ) > b * (c). Similarly for other inequality signs. Division property: If you divide each side of the inequality by a positive number the direction of the inequality remains unchanged but if you divide each side of the inequality by a negative number than the direction of the inequality get changed. If a < b than ab < bc . however, if a−c < b−c , we get a−c > b−c
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Simplify Expression In this page we are going to discuss about simplifying expressions concepts. Simplify means converting complexity into simple and then solving it. In other words breaking a problem, into simple terms or terminologies can be defined as Simplification. Students always find difficulty in simplifying problems but, its actual purpose is to break down problems into steps and then solving it. There are different ways of simplifying, and different methods followed by different tutors for simplifying expressions.
How to Simplify Expressions Simplify the term itself suggests that it means simplifying things. But when it comes to math, it is not that simple. Simplification is one of the major operation of math and to work out simplify problem is very difficult without having clear concept.
Simplification in math is applied to different concepts and these are: simplifying radical expressions, square roots, rational expressions, fractions, exponents, algebraic expressions, complex fractions, equations and expressions. Let's discuss the most frequently discussed topics covered in simplification and how to simplify expressions. Simplify Radical Expressions Radical expressions are the combination of both variables and numbers inside a root. Radical expressions should be broken into pieces in order to get its simplest form. Simplify square roots The process of obtaining the 'square root' of a number is termed as 'solving' or' simplification'. The number is broken down to its factors to obtain the number which satisfies the condition of being the square root of the number. Simplify rational expressions A rational expression is more than a fraction in which the numerator and/or the denominator are polynomials.Simplifying rational expression involve breaking down fractions. Read More On :- Definition of Rectangular Prism
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