Question

If 6x=30, then x=5. If x=5, then 2x=10. Make a conclusion using the law of syllogism

Answer 1

Given:

`\begin{gathered} \text{If 6x=30 then x=5} \\ \text{If x=5 then 2x=10} \end{gathered}`

The law of syllogism states that,

`\text{ If a=}b\text{ and b=c then a=c}`

For the given data,

`\begin{gathered} a\colon\text{ 6x=30} \\ b\colon x=5 \\ c\colon2x=10 \\ By\text{ the law of syllogism,} \\ 6x=30 \\ 3\cdot2x=3\cdot10 \\ \Rightarrow2x=10 \\ Therefore, \\ \text{If 6x=30 then 2x=10} \end{gathered}`