6. Systems of Equations and Inequalities

Graph a Linear Inequality in Two Variables

Systems of Inequalities

Graphing Systems of Linear Inequalities - Example 2

In Exercises 39–45, graph each inequality. y ≤ x^2 - 1

In Exercises 1–26, graph each inequality. x^2+y^2≤1

In Exercises 1–26, graph each inequality. y≤(1/3)x

Graph a linear inequality with a < or <_ symbol

In Exercises 1–26, graph each inequality. y≥log_2(x+1)

Represent constraints on solutions using linear inequalities

In Exercises 39–45, graph each inequality. y ≤ 2^x

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. x+2y≤4, y≥x−3<img src="https://lightcat-files.s3.amazonaws.com/problem_images/c2b041539aa66cc6-1669819892375.jpg" alt="" />

In Exercises 1–26, graph each inequality. y>2x−1

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. 2x−5y≤10, 3x−2y>6<img src="https://lightcat-files.s3.amazonaws.com/problem_images/cb5beb634d5b94b3-1669816100154.jpg" alt="" />

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. 3x+6y≤6, 2x+y≤8 <img src="https://lightcat-files.s3.amazonaws.com/problem_images/25a887733e356c76-1669813674402.jpg" alt="" />

In Exercises 1–26, graph each inequality. y>−3

In Exercises 1–26, graph each inequality. (x−2)^2+(y+1)^2<9

Graphing Linear Inequalities

Represent solutions and constraints to linear inequalities by graphing

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. x+y>4, x+y<−1<img src="https://lightcat-files.s3.amazonaws.com/problem_images/345b7388fb9d2516-1669902323182.jpg" alt="" />

Solve simultaneous linear inequalities by graphing

Graphing Systems of Linear Inequalities - Example 1

Graphing linear inequalities with a > or   symbol

In Exercises 46–55, graph the solution set of each system of inequalities or indicate that the system has no solution. <img src="" alt="" /> This <img src="" alt="" /> is a piecewise function. Refer to the textbook.

In Exercises 1–26, graph each inequality. y<x^2−1

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. x≤2, y≥−1<img src="https://lightcat-files.s3.amazonaws.com/problem_images/4fe0fb573ce8374e-1669740782671.jpg" alt="" />

In Exercises 39–45, graph each inequality. y ≤ (-1/2)x + 2

Check graphing of a system of inequalities

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. −2≤x<5

Graph systems of inequalities by shading their intersection

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. x−y≤1, x≥2<img src="https://lightcat-files.s3.amazonaws.com/problem_images/aba3f7e55e079613-1669825184195.jpg" alt="" />

In Exercises 39–45, graph each inequality. 3x - 4y > 12

In Exercises 1–26, graph each inequality. x≤−3

In Exercises 1–26, graph each inequality. y≥x^2−9

In Exercises 1–26, graph each inequality. y>2^x

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. y>2x−3, y<−x+6<img src="https://lightcat-files.s3.amazonaws.com/problem_images/2386cd667570135c-1669817812298.jpg" alt="" />

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. y≥x^2−1, x−y≥−1<img src="https://lightcat-files.s3.amazonaws.com/problem_images/459bece8a7760d97-1670375095514.jpg" alt="" />

Graphing Non-Linear Systems

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. x+y>4, x+y>−1<img src="https://lightcat-files.s3.amazonaws.com/problem_images/3e55ab478d202eb3-1669905031211.jpg" alt="" />

In Exercises 1–26, graph each inequality. x−2y>10

In Exercises 1–26, graph each inequality. x^2+y^2>25

In Exercises 1–26, graph each inequality. x+2y≤8

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Graph a Nonlinear Inequality in Two Variables

Use Mathematical Models Involving Linear Inequalities

Graph a System of Inequalities

Determine Whether an Ordered Pair is a Solution of a Linear System

Solve Linear Systems by Substitution

Solve Linear Systems by Addition

Identify Systems That Don't Have One Ordered-Pair Solution

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Systems of Nonlinear Equations in Two Variables

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Solve Systems of Linear Equations in Three Variables

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Systems of Linear Equations in 3 Variables

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