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 $-6≤x-9$.

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

$\begin{array}{l}−6≤x−9\\ −6+9≤x−9+9\\ 3≤x\\ xâ‰\yen 3\end{array}$

Since, in the expression $xâ‰\yen 3$

So, this expression means that the value of x should be greater than or equal to $3$.

So, Put $4,5,6,.....\&..so on$ in $-6≤x-9$ to check whether the inequality hold or not

Put $x=4$ in inequality,

$\begin{array}{l}−6≤x−9\\ −6≤4−9\\ −6≤−5\end{array}$

It holds the equation

Again, put $x=5$in equality

$\begin{array}{l}−6≤x−9\\ −6≤5−9\\ −6≤−4\end{array}$

It also holds the inequality.

So, the expression $xâ‰\yen 3$correctly holds the inequality.

Graphical Interpretation

Following is the graph of the expression $xâ‰\yen 3$ to get the proper graphical representation to know the points.