Question

Solve the inequality. Graph your solution.

$5+m+8\ge 14$

Short answer

The solution for the inequality is $m\ge 1$.

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 Side to maintain the inequality and also the variable & numbers should be at the different sides in the equation.

Step -2 – Make the inequality in general format

Since, the inequality is$5+m+8\ge 14$.

Now,

$\begin{array}{l}5+m+8\ge 14\\ m+13\ge 14\end{array}$

Step- 3 – Finding the solution of the inequality

Now, the inequality is $m+13\ge 14$.

To solve the inequality, subtract $13$ to both side of the equation

$\begin{array}{l}m+13\ge 14\\ m+13-13\ge 14-13\\ m\ge 1\end{array}$

Graphical Interpretation

Following is the graph of the expression $m\ge 1$ to get the proper graphical representation to know the points.