Question

Select all expressions that are true when x=2x/2+1=03x-4=2x-4< -32x+1 > 0

Answer 1

Let's calculate each expression using x = 2 and check if the final sentence is true or false. If it's true, then x = 2 is a solution.

`\begin{gathered} (x)/(2)+1=0 \\ (2)/(2)+1=0 \\ 1+1=0 \\ 2=0\text{ (False)} \\ \\ 3x-4=2 \\ 3\cdot2-4=2 \\ 6-4=2 \\ 2=2\text{ (True)} \\ \\ x-4<-3 \\ 2-4<-3 \\ -2<-3\text{ (False)} \\ \\ 2x+1>0 \\ 2\cdot2+1>0 \\ 4+1>0 \\ 5>0\text{ (True)} \end{gathered}`

So the correct options are the second and fourth ones.