To graph a linear inequality, you must first find its boundary line. The boundary line can be found by replacing the inequality symbol with an equals symbol.

Replacing the inequality symbol in y>−2 with an equals gives y=−2. The boundary line is then a horizontal line passing through −2 on the y-axis.

The boundary line must be graphed as a solid line if the inequality symbol is ≤ or ≥ and graphed as a dashed line is the inequality symbol is > or

Since y>−2 has > as the inequality symbol, you must then graph y=−2 as a dashed line.

You must then determine where to shade. Since y>−2 is stating that yy must be BIGGER than −2, you must then shade above the boundary line. This is because all the points above the boundary line have yy-coordinates that are bigger than −2.

The graph is then:

[Graph]

Replacing the inequality symbol in y>−2 with an equals gives y=−2. The boundary line is then a horizontal line passing through −2 on the y-axis.

The boundary line must be graphed as a solid line if the inequality symbol is ≤ or ≥ and graphed as a dashed line is the inequality symbol is > or

Since y>−2 has > as the inequality symbol, you must then graph y=−2 as a dashed line.

You must then determine where to shade. Since y>−2 is stating that yy must be BIGGER than −2, you must then shade above the boundary line. This is because all the points above the boundary line have yy-coordinates that are bigger than −2.

The graph is then:

[Graph]