91Ó°ÊÓ

In this type of inequality, Simply use the property of addition or subtraction of suitable number on both Left Hand Side & Right Hand Sideto maintain the inequality and also the variable & numbers should be at the different sides in the equation.

Since, the equality is $1â‰\yen x-9$

Here, to simplify this inequality, adding $9$ to both side on the above

$\begin{array}{l}1â‰\yen x−9\\ 1+9â‰\yen x−9+9\\ 10â‰\yen x\\ x≤10\end{array}$

Since, in the expression $x≤10$

So, this expression means that the value of x should be smaller than or equal to $10$.

So, Put$10,9,8,7.......so on$ in $1â‰\yen x-9$ to check whether the inequality hold or not

Put $x=10$ in inequality,

$\begin{array}{l}1â‰\yen x−9\\ 1â‰\yen 10−9\\ 1â‰\yen 1\\ 1=1\end{array}$

It holds the equation

Again, put $x=9$ in equality

$\begin{array}{l}1â‰\yen x−9\\ 1â‰\yen 9−9\\ 1â‰\yen 0\end{array}$

It also holds the inequality.

So, the expression $x≤10$ correctly holds the inequality.

Graphical Interpretation

Following is the graph of the expression $x≤10$ to get the proper graphical representation to know the points.