Question

Use the drawing tool(s) to form the correct answer on the provided graph.

Answer 1

Answer:

The graph of system of inequalities is shown below.

Step-by-step explanation:

The given system of inequalities is

$y>\frac{1}{4}x+6$              .... (1)

$y>2x-1$                         ... (2)

The slope intercept form of a line is

$y=mx+b$

where, m is slope and b is y-intercept.

The related equation of first inequality is

$y=\frac{1}{4}x+6$

The slope of this line is 1/4 and y-intercept is 6.

The related equation of second inequality is

$y=2x-1$

The slope of this line is 2 and y-intercept is -1.

The sign of inequalities is >, it means the related line is a dotted line and shaded region lies above the line.

Common shaded region represents the solution set.

Answer 2

Answer:

  see below. The solution is the doubly-shaded area.

Step-by-step explanation:

Each boundary line will be dashed, because the "or equal to" case is not included. Each shaded area will be above the corresponding boundary line because the comparison symbol is y > .... That is, only y-values greater than (above) those in the boundary line are part of the solution.

Of course, the boundary lines are graphed in the usual way. Each crosses the y-axis at the value of the constant in its equation. Each has a slope (rise/run) that is the value of the x-coefficient in the equation.