Math Problem Statement

give me the actual poits or plot of this graph of system of inequalities y > -2x + 3 y >_2x-9

Solution

To plot the system of inequalities y>2x+3y > -2x + 3 and y2x9y \geq 2x - 9, follow these steps:

Step-by-step Analysis:

  1. Plot the Boundary Lines:
    • For the inequality y>2x+3y > -2x + 3,

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Inequalities
Graphing

Formulas

Linear equation: y = mx + b (where m is the slope and b is the y-intercept)

Theorems

Boundary line concept for inequalities
Shading rule for inequalities: '>' means above the line, '≥' means including the line

Suitable Grade Level

Grades 8-10