WebFlipping the Inequality Sign by The Algebra Shop 4.0 (1) FREE PDF This page will help guide students to understanding why we switch the inequality sign after multiplying ( or … WebMay 14, 2024 · You also often need to flip the inequality sign when solving inequalities with absolute values. Multiplying and Dividing Inequalities by Negative Numbers The main situation where you'll need to flip the …

Why do we flip the inequality sign sometimes?

WebOct 15, 2009 · You have probably remembered in Algebra that if we multiply an inequality by a negative number, then the inequality sign should be flipped or reversed. For example, if we want to find the solution of the inequality , we multiply both sides by and reverse the greater than sign giving us . Now, why did the sign became ? WebFirst, let us clear out the "/3" by multiplying each part by 3. Because we are multiplying by a positive number, the inequalities don't change: −6 < 6−2x < 12. Now subtract 6 from each part: −12 < −2x < 6. Now divide each part by 2 (a positive number, so again the inequalities don't change): −6 < −x < 3. portland oregon vacation home rentals

Inequality Signs Teaching Resources TPT - TeachersPayTeachers

WebMultiplication by negative numbers flips inequalities. Multiplication by positive numbers respects inequalities. If a < b and c < 0, then a c > b c; if d > 0, then a d < b d. You can deduce the case of reciprocals (which is more complicated than what you wrote) from this. WebIn general: Given a strictly monotone decreasing function f: A → R where A ⊂ R is an interval and an inequality a < b where both a, b ∈ A the inequality implies f ( a) > f ( b) In your case, A = ( 0, ∞) and f ( x) = 1 x. For a non-strict version ( a ≤ b) the function f can be monotone (not necessarily strictly monotone). WebSep 2, 2011 · 58K views 11 years ago I discuss WHY we flip the sign of an inequality when we multiply (or divide) both sides by a negative number. And I give a couple of examples, and show how to check … optimum corporate office email