Without using the derivative show that the function `f(x)=7x-3` is strictly increasing function on `Rdot`

Explanation

Here,

f(x)=7 x-3

Let `x_1, x_2` in `R` such that `x_1< x_2` Then,

`x_1< x_2`

`Rightarrow 7 x_1<7 x_2[therefore7>0]`

`Rightarrow 7 x_1-3<7 x_2-3`

`Rightarrow f(x_1) < f(x_2)`

`therefore` `x_1 < x_2` `=>` f`(x_1)` < f `(x_2)`,`forall``x_1,x_2 in R`

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