Question

Which property will use the inequality $-7y\le 49$ ?

Short answer

The division property of inequality is used to solve the equation.

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 – Find the value of y by solving the inequality

Since, the equality is $-7y\le 49$.

Here, to simplify this inequality, use the division property to solve it, divide by $-7$to both side of the equation,

$\begin{array}{l}-7y\le 49\\ \frac{-7y}{-7}\le \frac{49}{-7}\\ y\le -7\end{array}$