Question

Describe and correct the error in solving the inequality $9x>-45$.

Short answer

The solution of the inequality is $x>-5$

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 or multiplication 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 – Describing the given solution that have error

In this, below solution of the inequality

The error in the above solution is that the sign of the inequality has changed on solving the inequality due to which the answer comes wrong.

Step- 3 – Correction of the solution 

Here, the inequality is $9x>-45$

Now, divide $9$to both side of the equation

$\begin{array}{l}9x>-45\\ \frac{9x}{9}>\frac{-45}{9}\\ x>-5\end{array}$