Question

Solve the inequality. Graph your solution.

$b+2.5\le 2.5$

Short answer

The solution for the inequality is $b\le 0$.

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 b by solving the inequality

Since, the equality is $b+2.5\le 2.5$.

Here, to simplify this inequality, subtract $2.5$ to both side on the above

$\begin{array}{l}b+2.5\le 2.5\\ b+2.5-2.5\le 2.5-2.5\\ b\le 0\end{array}$

Graphical Interpretation

Following is the graph of the expression $b\le 0$ to get the proper graphical representation to know the points.