Solve the inequality. Graph and check your solution.

$-11<y+5$

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.

Since, the equality is $-11<y+5$.

Here, to simplify this inequality, subtract $-5$to both side on the above

$\begin{array}{l}-11<y+5\\ -11-5<y+5-5\\ -16<y\\ y>-16\end{array}$

Since, in the expression $y>-16$.

So, this expression means that the value of y should be greater than $-16$.

So, Put $-15,-14,-13.......so on$in $-11<y+5$to check whether the inequality hold or not

Put $y=-15$in inequality,

$\begin{array}{l}-11<y+5\\ -11<-15+5\\ -11<-10\end{array}$

It holds the equation

Again, put $y=-14$ in equality

$\begin{array}{l}-11<y+5\\ -11<-14+5\\ -11<-9\end{array}$

It also holds the inequality.

So, the expression $y>-16$ correctly holds the inequality.

Graphical Interpretation

Following is the graph of the expression $y>-16$ to get the proper graphical representation to know the points.