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Luxe Prestige Chronicle

which inequality is represented by the graph

Author

Andrew Henderson

Updated on June 22, 2026

A linear inequality graph usually uses a borderline to divide the coordinate plane into two regions. One part of the region consists of all solutions to inequality. The borderline is drawn with a dashed line representing ‘>’ and ‘

What inequality is represented?

An inequality is a mathematical relationship between two expressions and is represented using one of the following: ≤: “less than or equal to” <: than equal to>

Why do we graph inequalities?

Graphs of linear equations are especially effective for representing relationships between things that change at a constant rate, and they often do a better job than words or mathematical equations alone.

What graphs do not represent a function?

The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.

What is the graph of linear inequalities in two variables?

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and

Which symbols are used when you graph an inequality with a solid line?

To graph the inequality, graph the equation of the boundary. Use a solid line if the symbol ≤ or ≥ is used because the boundary is included in the solution.

What does the graph of an equation represent?

The graph of the linear equation is a set of points in the coordinate plane that all are solutions to the equation. If all variables represent real numbers one can graph the equation by plotting enough points to recognize a pattern and then connect the points to include all points.

Which graphs represent functions?

A curve drawn in a graph represents a function, if every vertical line intersects the curve in at most one point.

Which graph does not represent a one-to-one function?

Using the Horizontal Line Test

If any horizontal line intersects the graph more than once, then the graph does not represent a one-to-one function.

What relation does not represent a function?

When looking at the graph of a relation, you can determine whether or not it is a function using the vertical line test. If a vertical line can be drawn anywhere through the graph such that it intersects the graph more than once, the graph is not function.