91Ó°ÊÓ

In this type of inequality, Simply use the property of addition or subtraction or multiplication or division 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$\frac{u}{6}â‰\yen 3$.

Here, to simplify this inequality, multiply $6$to both side on the above

$\begin{array}{l}\frac{u}{6}â‰\yen 3\\ \frac{u}{6}×6â‰\yen 3×6\\ uâ‰\yen 18\end{array}$

Since, in the expression $uâ‰\yen 18$

So, this expression means that the value of u should be greater than or equal to$18$.

So, Put $18,19,20,.......so on$in $\frac{u}{6}â‰\yen 3$to check whether the inequality hold or not

Put $u=18$in inequality,

$\begin{array}{l}\frac{u}{6}â‰\yen 3\\ \frac{18}{6}â‰\yen 3\\ 3â‰\yen 3\\ 3=3\end{array}$

It holds the equation

Again, put $u=19$in equality

$\begin{array}{l}\frac{u}{6}â‰\yen 3\\ \frac{19}{6}â‰\yen 3\\ 3.1â‰\yen 3\end{array}$

It also holds the inequality.

So, the expression $uâ‰\yen 18$ correctly holds the inequality.

Graphical Interpretation

Following is the graph of the expression $uâ‰\yen 18$ to get the proper graphical representation to know the points.