Question

Solve the inequality. Graph your solution.

$q+4+16\ge 30$

Short answer

The solution for the inequality is $q\ge 10$.

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 $q+4+16\ge 30$.

Now,

$\begin{array}{l}q+4+16\ge 30\\ q+20\ge 30\end{array}$

Step- 3 – Finding the solution of the inequality

Now, the inequality is $q+20\ge 30$.

To solve the inequality, subtract $20$ to both side of the equation

$\begin{array}{l}q+20\ge 30\\ q+20-20\ge 30-20\\ q\ge 10\end{array}$

Graphical Interpretation

Following is the graph of the expression \[q\ge 10\] to get the proper graphical representation to know the points.