Question

How solving $2x>-14$ is different from solving $-2x>14$ ? Explain.

Short answer

The solution for the inequality is $x>-7$.

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 – Find the value of xof first inequality

Since, the equality is$2x>-14$.

Here, to simplify this inequality, divide$2$to both side on the above

$\begin{array}{l}2x>-14\\ \frac{2x}{2}>\frac{-14}{2}\\ x>-7\end{array}$

Step -3 – Find the value of x of second inequality

Since, the equality is $-2x>14$.

Here, to simplify this inequality, divide $-2$to both side on the above

$\begin{array}{l}-2x>14\\ \frac{-2x}{-2}>\frac{14}{-2}\\ x>-7\end{array}$

Here, in first to get the solution, it has to divide with $2$ and in second case, it has to divide by $-2$.