What is an inequality in math

    • How do you calculate an inequality?

      To solve an inequality, the calculator uses the following principles: It may add or subtract the same number to both sides of an inequality. It may multiply or divide each member of an inequality by the same number. When this number is negative is reversed the direction of the inequality.

    • What do inequality signs mean in math?

      Inequality symbols Equals sign: =. ... Not equal to sign: ≠. ... Greater than sign: > The greater than sign is a symbol that indicates a strict inequality between two values; specifically, that the value to the left of the greater than ... Greater than or equal to sign: ≥. ... Less than sign: < The less than sign is the counterpart to the greater than sign. ... More items...

    • What does it mean to solve an inequality?

      To solve an inequality in the variable by finding all values of that variable for which the inequality is true. These values are solutions of the inequality and are said to satisfy the inequality. An inequality is a statement which says two expressions can be true for a set of values assigned to the variable.

    • How to solve for an inequality?

      Procedures. Step 1 Eliminate fractions by multiplying all terms by the least common denominator of all fractions. Step 2 Simplify by combining like terms on each side of the inequality. Step 3 Add or subtract quantities to obtain the unknown on one side and the numbers on the other. Step 4 Divide each term of the inequality by the coefficient of the unknown. If the coefficient is positive, the inequality will remain the same. If ...

    • [PDF File]Inequalities of Analysis - Math

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      We only need to prove the AG Inequality because the HG inequality follows from the AG inequality and properties of the means H(a) = 1 A 1 a ≤ 1 G 1 a = G(a). For two positive numbers, the AG inequality follows from the positivity of the square G2 = ab = a +b 2 2 …

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    • [PDF File]Solving inequalities

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      inequality means to find a range, or ranges, of values that an unknown x can take and still satisfy the inequality. In this unit inequalities are solved by using algebra and by using graphs. In order to master the techniques explained here it is vital that you undertake plenty of practice

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    • [PDF File]INEQUALITIES - Math circle

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      The power mean inequality holds even if r = ∞ or s = −∞, provided that we use the definitions of P ∞ and P −∞ above, and the convention that ∞ > r > −∞ for all numbers r. Here are some special cases of the power mean inequality: • P 1 ≥ P 0 (the AM-GM inequality). • P 0 ≥ …

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    • [PDF File]Inequalities - Department of Mathematics - Department of ...

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      function to both sides of an inequality preserves it. The function y = x2 is increasing for x ≥ 0. (Figure 1) Hence squaring both sides of an inequality will be valid as long as both sides are non-negative. Since square roots are non-negative, inequality (2) is only meaningful if both sides are non-negative. Hence, squaring both sides was ...

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    • [DOC File]Inequalities

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      An inequality is defined as “a statement of relative size or order of two objects” [1]. Inequalities arose from the question what occurs when the two objects or equations are not equal to each other.

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    • [DOCX File]Grade 6: Unit 5: Equations and Inequalities

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      When one expression has a different value than a related expression, an inequality provides a way to show that relationship between the expressions: the value of one expression is greater than (or greater than or equal to) the value of the other expression instead of being equal.

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    • [DOC File]The Mathematical Basics of Popular Inequality Measures

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      Inequality is related to several mathematical concepts, including dispersion, skewness, and variance. As a result, there are many ways to measure inequality, which itself arises from various social and physical phenomena. While this is not an exhaustive discussion of inequality measures, it does deal with several of the most popular statistics.

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    • [DOCX File]Type Grade Here - Mrs. Murphy's 7th Grade Math

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      An inequality is a math sentence that compares two quantities. Often one of the quantities is a variable. Use the following symbols and descriptions to represent each type of inequality.

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    • [DOCX File]Unit 8: Sequences and Inequalities

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      (A linear inequality just means that it is an inequality for which we are solving for x). In order to graph the solution to linear inequalities we must determine what the inequality is telling us above the variable.

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    • [DOC File]Inequalities

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      Show math. Write an inequality that represents the statement “I made at least a 70 on my test” and graph the inequality. Write an inequality that represents the statement “x is less than 5 and is at least -5” and graph the inequality. Title: Inequalities Author: Barrow County Schools

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    • [DOC File]Solving and Graphing Inequalities

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      For 3x – 5 = 16, the only solution is x = 7. When we have an inequality to solve (greater than, less than, greater than or equal to, or less than or equal to) we have a range of numbers that can be a solution. In that range there is an infinite amount of possible numbers that make the inequality true. Example: x > 3 We know 4 is greater than 3.

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    • [DOC File]Algebra I: Section 3

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      CC MATH I STANDARDS UNIT 3 . 4.5 SOLVING MULTI-STEP EQUATIONS: PART 1 . WARM UP: Solve for the given variable. 1) 2) 3) 4) 5) 6) REVIEW OF SIMPLIFYING EXPRESSIONS

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    • [DOC File]Inequalities & Word Problems

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      6) Translate the verbal expression into an algebraic inequality, solve an graph your answer: The sum of twice a number and 5 is at most 3 less than a number. 1 Read carefully and underline key words. Write a Let statement [e.g. let x = …] Determined whether to use the =, >,

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    • [DOC File]Lesson Summary

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      Test points are any points that lie above or below the graph. Let's pick the point (0,0) and find out if it works or not in the inequality. If we substitute (0,0) into the inequality we get 3(0) + 2(0) ≥ 6. Solving we get 0 + 0 ≥ 6, which gives us 0 ≥ 6. Obviously this is false and therefore (0,0) does not work in the inequality.

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