Solve the inequality. Graph and check your solution.

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$8b>32$.

Here, to simplify this inequality, divide$8$to both side on the above

$\begin{array}{l}8b>32\\ \frac{8b}{8}>\frac{32}{8}\\ b>4\end{array}$

Since, in the expression$b>4$

So, this expression means that the value of b should be greater than$4$.

So, Put$5,6,7,\mathrm{.......}soon$in$8b>32$to check whether the inequality hold or not

Put$b=5$in inequality,

$\begin{array}{l}8b>32\\ 8\times 5>32\\ 40>32\end{array}$

It holds the equation

Again, put$b=6$in equality

$\begin{array}{l}8b>32\\ 8\times 6>32\\ 48>32\end{array}$

It also holds the inequality.

So, the expression$b>4$correctly holds the inequality.

Graphical Interpretation

Following is the graph of the expression to get the proper graphical representation to know the points.