The phone with system of inequalities by graphing why is less than 10x - 4

To graph the system of inequalities involving a line defined by \( y < 10x - 4 \), we'll follow a series of steps:

1. Graph the line \( y = 10x - 4 \):

   • First, we find two points on the line.
   • When \( x = 0 \): \[ y = 10(0) - 4 = -4 \quad \text{(Point: (0, -4))} \]
   • When \( x = 1 \): \[ y = 10(1) - 4 = 6 \quad \text{(Point: (1, 6))} \]

2. Plot the points:

   • Plot the points (0, -4) and (1, 6) on a Cartesian plane.

3. Draw the line:

   • Since the inequality is \( y < 10x - 4 \), we will draw a dashed line (not solid) because the points on the line itself are not included in the solution.

4. Shading the appropriate region:

   • Since \( y < 10x - 4 \), we shade the area below the dashed line, where all the points satisfy the inequality.

To summarize, the graph of the system will consist of:

• A dashed line through the points (0, -4) and (1, 6).
• Shading below this line to indicate all points (x, y) where \( y \) is less than \( 10x - 4 \).

If you have additional inequalities to include in the system, you would repeat the steps for each one and find the overlapping shaded region that satisfies all inequalities.