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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

-0) 3x - 2 > 5x - 1 (given) -2 > 2x - 1 (Subtraction Property) -1 > 2x (addition-example-1
User Zig Razor
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8.2k points

1 Answer

4 votes

3x-2>5x-1

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


\begin{gathered} 3x-3x-2>5x-3x-1 \\ \\ -2>2x-1 \end{gathered}

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


\begin{gathered} -2+1>2x-1+1 \\ \\ -1>2x \end{gathered}

3. Reversal property: rewrite the expression:


2x<-1

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


\begin{gathered} (2)/(2)x<-(1)/(2) \\ \\ x<-(1)/(2) \end{gathered}

Then the missing reason is division property

User EcSync
by
8.0k points
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