Question

Which is greater v-4 or 2v-1

Answer 1

Let's begin by listing out the information given to us:

`\begin{gathered} v-4=2v-1​ \\ \text{Put like terms together, we have:} \\ \text{Subtract v from both sides, we have:} \\ v-v+4=2v-v-1 \\ 4=v-1 \\ \text{Add 1 to both sides, we have:} \\ 4+1=v-1+1 \\ 5=v\Rightarrow v=5 \\ v=5 \\ \\ v-4\Rightarrow5-4=1 \\ 2v-1\Rightarrow2(5)-1=10-1=9 \\ \therefore2v-1>v-4 \end{gathered}`

2v - 1 is greater than v -4