Math Problem Statement

list the three coordinate pairs that are solutions to the inequalities to the left

List the three coordinate pairs that are solutions to the inequalities to the left.

Solution

From the image, the shaded region represents the solution to a system of inequalities. The solution area is the overlapping region where all the inequalities are satisfied. You are asked to find three coordinate pairs with integer values that are inside this region.

Upon inspecting the grid, the integer coordinate pairs in the shaded region include:

  1. (0, 0)
  2. (0, 1)
  3. (1, 0)

These points lie inside the region where the inequalities overlap.

Would you like further explanation or details about the inequalities that might form this region?

Here are 5 related questions you might find helpful:

  1. How do you determine the boundary lines for inequalities?
  2. What does it mean for a region to be the solution to a system of inequalities?
  3. How can you verify if a point satisfies an inequality?
  4. What is the significance of integer solutions in systems of inequalities?
  5. How do you graph inequalities on a coordinate plane?

Tip: Always test points from the shaded region in the inequalities to ensure they satisfy all conditions.

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Math Problem Analysis

Mathematical Concepts

Systems of Inequalities
Graphing Inequalities
Coordinate Geometry

Formulas

Slope-intercept form: y = mx + b
Solution to inequalities: Region that satisfies all given inequalities

Theorems

Intersection of Inequalities

Suitable Grade Level

Grades 8-10