Question

Solve the inequality. Graph your solution.

$a-10.2>5.3$

Short answer

The solution for the inequality is $a>15.5$.

Step-by-step solution

Step -1 - Apply the concept of Linear inequalities

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.

Step -2 – Find the value of a by solving the inequality

Since, the equality is $a-10.2>5.3$.

Here, to simplify this inequality, adding $10.2$to both side on the above

$\begin{array}{l}a-10.2>5.3\\ a-10.2+10.2>5.3+10.2\\ a>15.5\end{array}$

Graphical Interpretation

Following is the graph of the expression $a>15.5$ to get the proper graphical representation to know the points.