Question

Solve the system of two inequalities.y<6y≥-4Same format as the question below. Only the inequality is changed.

Answer 1

Given the system of inequalities:

`\begin{cases}y<6 \\ y\ge-4\end{cases}`

First Inequality: y<6

• The inequality sign is <, therefore, the ,type of boundary line is Dashed.

The equation of the boundary line is y=6. Therefore:

• Two points on the boundary line are: (0, 6) and (2, 6)

The region below the line will be shaded.

Second Inequality: y≥-4

• The inequality sign is ≥, therefore, the ,type of boundary line is Solid.

The equation of the boundary line is y=-4. Therefore:

• Two points on the boundary line are: (0, -4) and (2, -4)

The region above the line will be shaded.

The graph is attached below: