Question

Select the correct graph for each inequality

Answer 1

Graph A is the suitable choice as it accurately depicts the inequality
`\(y \geq (1)/(3)x + 2\)`. It correctly represents the boundary line and the shaded region above it, providing a clear visual understanding of the solution set.

Selecting Graph A is appropriate because it accurately represents the inequality
`\(y \geq (1)/(3)x + 2\)`. The line is correctly drawn with a slope of
`\((1)/(3)\)` and a y-intercept of 2.

Moreover, the shading is appropriately located above the boundary line, illustrating the solution set where y is greater than or equal to the expression on the right side of the inequality.

Graph A effectively conveys the relationship between x and y dictated by the given inequality, providing a clear visual representation of the valid solution region and ensuring accurate interpretation of the mathematical relationship.