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  1. An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value. a ≠ b says that a is not equal to b. a < b says that a is less than b. a > b says that a is greater than b. (those two are known as strict inequality) a ≤ b means that a is less than or equal to b.

    • Letter B

      Illustrated mathematics dictionary index for the letter B

    • Solving Inequalities

      Summary. Many simple inequalities can be solved by adding,...

    • Inequalities

      Introduction to Inequalities. Inequality tells us about the...

    • Origin of The term: Inequality
    • Let’s Look at The Rules of Inequalities
    • Frequently Asked Questions

    The term ‘inequality’ comes from the Old French word inequalité and the Latin word inequalitas, meaning ‘unequal, unlike, different’ and changeable. This term is used to compare the magnitude, number, and intensity of two values or expressions.

    Rule 1: When inequalities are linked, you can jump across them. So, if a is greater than b, and b is greater than c, a will also be greater than c. If a > b > c, a > c, we can jump over b to find out the relation between a and c directly. Example: If you (5) have more pens than Mia (3), and Mia (3) has more pens than Benj (1), then you (5) automati...

    Let’s do it!

    Learning inequality in math is important as it is a fundamental concept that takes a larger shape in higher classes. To make more mathematical concepts easier and fun for your kids, head over to SplashLearnand sign up for free!

  2. A quadratic inequality involves a quadratic expression in it. Here is the process of solving quadratic inequalities. The process is explained with an example where we are going to solve the inequality x 2 - 4x - 5 ≥ 0. Step 1: Write the inequality as equation. x 2 - 4x - 5 = 0. Step 2: Solve the equation.

  3. Introduction to Inequalities. Inequality tells us about the relative size of values. Mathematics is not always about "equals", sometimes we only know that something is greater or less than. Example: Alex and Billy have a race, and Billy wins! What do we know? We don't know how fast they ran, but we do know that Billy was faster than Alex: Billy ...

  4. Summary. Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own. But these things will change direction of the inequality: Multiplying or dividing both sides by a negative number. Swapping left and right hand sides.

  5. Jun 8, 2024 · From the above table, 5x < 2 and 7x > 16 are the strict inequalities. Slack Inequality. The symbols ≤ and ≥ are slack (weak) inequalities since the expression on the left of the symbols may be equal or less/greater than the expression on the right. From the above table, the slack inequalities are x – 7 ≤ 24 and x + 7 ≥ 12.

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  7. An inequality is similar to an equation in that they both describe the relationship between two expressions. Below are some examples of inequalities: Examples. ½ ; ¾ 99.8 > 98.6; 2 + 3 ≠ 2 × 3; 3 × 2 ≤ 4 + 3; 11 ≥ 9; Properties of inequalities. Inequalities, like many other relations in math, are governed by certain properties.

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