Reasoning with Equations and Inequalities

### Lessons for this standard

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### Related standards

- This standard is part of: NY.CCLS.Math.9-12.A-REI
- This standard is derived from: CCSS.Math.Content.HSA-REI.D

#### More specific sub-standards

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

Explain why the ๐น-coordinates of the points where the graphs of the equations ๐บ = ๐ง(๐น) and ๐บ = ๐(๐น) intersect are the solutions of the equation ๐ง(๐น) = ๐(๐น); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where ๐ง(๐น) and/or ๐(๐น) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.

Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

#### Similar standards elsewhere

Solve systems of equations and inequalities graphically.

Represent and solve equations and inequalities graphically.

Represent and solve equations and inequalities graphically.

Represent and solve linear and exponential equations and inequalities graphically.