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How is graphing a two variable inequality similar to graphing a one variable inequality?
One variable inequality- graph the point on the number line then choose a point on the point, to the left and to the right to see what gets shaded. Two variable inequality- graph the line on grid paper then choose a point on the line, to the left and to the right to see what gets shaded.
What is an inequality that contains at least one variable?
Algebraic Inequality
What is the definition of algebraic inequality?
algebraic inequality, is an inequality that contains at least one variable.
How do you describe the steps for graphing a two variable linear inequality?
To graph a two-variable linear inequality, first convert the inequality into an equation by replacing the inequality sign with an equal sign, which gives you the boundary line. Next, graph this line using a solid line for ≤ or ≥ and a dashed line for < or >. Then, determine which side of the line to shade by testing a point not on the line (usually the origin) to see if it satisfies the inequality. Finally, shade the appropriate region to represent all the solutions to the inequality.
What does a dashed line represent on a graph?
It can represent the graph of a strict inequality where the inequality is satisfied by the area on one side of the dashed line and not on the other. Points on the line do not satisfy the inequality.
Find the graph of the inequality y -2x - 2?
-4
How you solve Inequality?
To solve an inequality, first isolate the variable on one side of the inequality sign, similar to how you would solve an equation. This involves performing the same operations on both sides, such as adding, subtracting, multiplying, or dividing, while remembering that if you multiply or divide by a negative number, you must reverse the inequality sign. After isolating the variable, express the solution in interval notation or graph it on a number line to represent all possible values that satisfy the inequality.
What is the definition of graph of an inequality?
a graph
How do you solve a two variable inequality?
The simplest way is probably to plot the corresponding equality in the coordinate plane. One side of this graph will be part of the feasible region and the other will not. Points on the line itself will not be in the feasible region if the inequality is strict (< or >) and they will be if the inequality is not strict (≤ or ≥). You may be able to rewrite the inequality to express one of the variables in terms of the other. This may be far from simple if the inequality is non-linear.
Which inequality symbols are represented by a solid line on a graph?
The graph of an inequality is a region, not a line.
A set of data involving one variable?
A set of data with one variable is a net-graph
An inequality that contains at least one variable?
the answer is an algebraic expression!
