Question

Solve $5x-7<2x+2$, when x is a natural number

Answer 1

We have $5x-7<2x+2$
or $5x-7+7<2x+2+7$..Rule 1

or $5x<2x+9$

or $3x<9$
or $x<3$.....Rule 2
When x is a natural number the solutions of the inequality are given by $x<3$
i. e. all natural numbers x which are less than 3.

Therefore the solution set of the inequality is $1$ and $2$