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$5a<−35$ .

Here, to simplify this inequality, divide$5$to both side on the above

$\begin{array}{l}5a<−35\\ \frac{5a}{5}<\frac{−35}{5}\\ a<−7\end{array}$

Since, in the expression$a<−7$

So, this expression means that the value of a should be smaller than .

So, Put$−8,−9,−10,\mathrm{.......}so\text{ }on$in$5a<−35$to check whether the inequality hold or not

Put$a=−8$in inequality,

$\begin{array}{l}5a<−35\\ 5×−8<−35\\ −40<−35\end{array}$

It holds the equation

Again, put$a=−9$ in equality

$\begin{array}{l}5a<−35\\ 5×−9<−35\\ −45<−35\end{array}$

It also holds the inequality.

So, the expression$a<−7$ correctly holds the inequality.

Graphical Interpretation

Following is the graph of the expression$a<−7$ to get the proper graphical representation to know the points.