2 >1 This is a true statement. 2(y – x) > 1(y – x) Multiply both sides by y - x. 2у - 2х > у — х y – 2x > -x y > x Use the distributive property. Subtract y from both sides. Add 2x to both sides.

PREALGEBRA
15th Edition
ISBN:9781938168994
Author:OpenStax
Publisher:OpenStax
Chapter10: Polynomials
Section10.3: Multiply Polynomials
Problem 10.85TI: Multiphy using the Distributive Property: (y1)(y27y+2)
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Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement :

What’s wrong with this argument? Suppose x and y represent two real numbers, where x > y.

(See the attachment)

The final inequality, y > x, is impossible because we were initially given x > y.

2 >1
This is a true statement.
2(y – x) > 1(y – x) Multiply both sides by y - x.
2у - 2х > у — х
y – 2x > -x
y > x
Use the distributive property.
Subtract y from both sides.
Add 2x to both sides.
Transcribed Image Text:2 >1 This is a true statement. 2(y – x) > 1(y – x) Multiply both sides by y - x. 2у - 2х > у — х y – 2x > -x y > x Use the distributive property. Subtract y from both sides. Add 2x to both sides.
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