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-0)
3x - 2 > 5x - 1 (given)
-2 > 2x - 1 (Subtraction Property)
-1 > 2x (addition property)
2x < -1 (reversal property)
x<-1/2 (?)
1) What is the missing reason?
A) Division Property
B) Symmetric Property
) Transitive Property
D) Additive Inverse Property

03x 2 gt 5x 1 given2 gt 2x 1 Subtraction Property1 gt 2x addition property2x lt 1 reversal propertyxlt12 1 What is the missing reasonA Division PropertyB Symmet class=

Respuesta :

[tex]3x-2>5x-1[/tex]

1. Subtraction property: subtract the same amount in both sides of the inequality:

[tex]\begin{gathered} 3x-3x-2>5x-3x-1 \\ \\ -2>2x-1 \end{gathered}[/tex]

2. Addition property: add the same amount in both sides of the inequality:

[tex]\begin{gathered} -2+1>2x-1+1 \\ \\ -1>2x \end{gathered}[/tex]

3. Reversal property: rewrite the expression:

[tex]2x<-1[/tex]

4. Division property: divide both sides of the inequation by the same aomunt:

[tex]\begin{gathered} \frac{2}{2}x<-\frac{1}{2} \\ \\ x<-\frac{1}{2} \end{gathered}[/tex]

Then the missing reason is division property

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