Question

step 2 of 3: graph the solution set of the second linear inequality.
answer 5 points
the line will be drawn once all required data is provided and will update whenever a value is updated. the regions will be added once the line is drawn.
choose the type of boundary line:
solid (—)
dashed (--)
enter two points on the boundary line:
( , )( , )
select the region you wish to be shaded:
o c
o d
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Explanation:

Step1: Analyze the inequalities

For \(y\geq - 4\), the boundary line is \(y=-4\). Since the inequality is \(\geq\), the boundary - line is solid. Two points on the line \(y = - 4\) can be \((0,-4)\) and \((1,-4)\). The region satisfying \(y\geq - 4\) is above the line \(y=-4\).
For \(x>-7\), the boundary line is \(x = - 7\). Since the inequality is \(>\), the boundary - line is dashed. Two points on the line \(x=-7\) can be \((-7,0)\) and \((-7,1)\). The region satisfying \(x > - 7\) is to the right of the line \(x=-7\).

Step2: Determine the boundary - line types

For \(y\geq - 4\), the type of boundary line is Solid. For \(x>-7\), the type of boundary line is Dashed.

Step3: Select the shaded region

The region that satisfies both \(y\geq - 4\) and \(x>-7\) is the region to the right of \(x = - 7\) and above \(y=-4\).

Answer:

Type of boundary line for \(y\geq - 4\): Solid
Two points on \(y=-4\): \((0,-4)\), \((1,-4)\)
Type of boundary line for \(x>-7\): Dashed
Two points on \(x=-7\): \((-7,0)\), \((-7,1)\)
Shaded region: The region to the right of \(x = - 7\) and above \(y=-4\)