Question

-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

Answer 1

`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