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

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31-10-2022
Mathematics

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

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MatasW10629 MatasW10629 · Answer 1 · 2022-10-31T02:23:08-04:00

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.

[tex]\begin{gathered} \frac{x}{2}+1=0 \\ \frac{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}[/tex]

So the correct options are the second and fourth ones.