Math Problem Statement

graph the solution set y greater than - 2

Solution

To graph the solution set y>2y > -2, follow these steps:

  1. Draw the line y=2y = -2 as a dashed line because the inequality is strict (does not include y=2y = -2).
  2. Shade the region above the line since we are interested in the area where yy is greater than -2. This corresponds to the values of yy that are above the line.

Key Details:

  • The dashed line represents all points where y=2y = -2.
  • The shading above the line represents the solution set y>2y > -2, which includes all points above the dashed line.

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Here are 5 related questions you might find interesting:

  1. How do you graph inequalities involving both xx and yy?
  2. What changes if the inequality was y2y \geq -2 instead?
  3. How do you solve inequalities with absolute values?
  4. What happens if you reverse the inequality to y<2y < -2?
  5. How do you graph compound inequalities?

Tip: When graphing inequalities, always use a dashed line for strict inequalities (<(< or >)> ) and a solid line for inclusive inequalities ((\leq or )\geq ).

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Math Problem Analysis

Mathematical Concepts

Inequalities
Graphing Linear Inequalities

Formulas

y = -2 (boundary line for inequality)

Theorems

Basic properties of inequalities

Suitable Grade Level

Grades 6-8