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 $-8â‰\yen d-7$.

Here, to simplify this inequality, adding $7$to both side on the above.

$\begin{array}{l}−8â‰\yen d−7\\ −8+7â‰\yen d−7+7\\ −1â‰\yen d\\ d≤−1\end{array}$

Since, in the expression $d≤-1$.

So, this expression means that the value of d should be smaller than or equal to $-1$.

So, Put$-2,-3,-4,.........so on$in $-8â‰\yen d-7$to check whether the inequality hold or not

Put $d=-2$in inequality,

$\begin{array}{l}−8â‰\yen d−7\\ −8â‰\yen −2−7\\ −8â‰\yen −9\end{array}$

It holds the equation

Again, put $d=-3$in equality

$\begin{array}{l}−8â‰\yen d−7\\ −8â‰\yen −3−7\\ −8â‰\yen −10\end{array}$

It also holds the inequality.

So, the expression $d≤-1$ correctly holds the inequality.

Graphical Interpretation

Following is the graph of the expression $d≤-1$ to get the proper graphical representation to know the points.