Multiply both sides of the inequality x > 5 by −2. Multiplying x by −2 results in −2x. Multiplying 5 by −2 results in . The inequality then becomes the following. −2 · x ? 5 · −2 −2x ?
Multiply both sides of the inequality x > 5 by −2. Multiplying x by −2 results in −2x. Multiplying 5 by −2 results in . The inequality then becomes the following. −2 · x ? 5 · −2 −2x ?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section: Chapter Questions
Problem 5DE
Related questions
Question
Multiply both sides of the inequality by the given constant. Leave the inequality symbol alone at first.
Multiply both sides of the inequality x > 5 by
−2.
Multiplying x by
−2
results in
−2x.
Multiplying 5 by
−2
results in . The inequality then becomes the following.
| −2 · x | ? | 5 · −2 |
|
|
||
| −2x | ? |
Notice that the "greater than" symbol is temporarily replaced by a question mark. This is examined in the next step.
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