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Properties. Inequalities have properties ... all with special names! Here we list each one, with examples. Note: the values a, b and c we use below are Real Numbers. Transitive Property. When we link up inequalities in order, we can "jump over" the middle inequality. If a < b and b < c, then a < c. Likewise: If a > b and b > c, then a > c
We now examine some of the key properties of inequalities. Property 1 - Adding or Subtracting a Number. The sense of an inequality is not changed when the same number is added or subtracted from both sides of the inequality. Example 6 . Using the inequality: `9 > 6` adding `4` to both sides gives `9 + 4 > 6 + 4` i.e. `13 > 10` which is still true
27 wrz 2020 · Solve inequalities that contain absolute value. Solve multi-step inequalities. Combine properties of inequality to isolate variables, solve algebraic inequalities, and express their solutions graphically. Simplify and solve algebraic inequalities using the distributive property to clear parentheses and fractions.
Quiz. Unit test. About this unit. There are lots of strategies we can use to solve equations. Let's explore some different ways to solve equations and inequalities. We'll also see what it takes for an equation to have no solution, or infinite solutions. Linear equations with variables on both sides. Learn.
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
We will learn how you can solve an Inequality in the same way as an Equation, except for one rule simple rule. The Inequality Property of Addition and Subtraction: If a > b is true, then a + c > b + c. The Inequality Property of Multiplication and Division. If a > b is true and c is a positive number (i.e. c > 0), then ac > ab is true.
Study Guides > College Algebra. Using the Properties of Inequalities. When we work with inequalities, we can usually treat them similarly to but not exactly as we treat equalities. We can use the addition property and the multiplication property to help us solve them.
