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A linear ___ is a mathematical statement that two linear expressions, or a linear expression and a constant, are not equal.

2 Answers

4 votes

Final answer:

A linear inequality is a statement indicating that two linear expressions or a linear expression and a constant are not equal, depicted algebraically with inequality symbols and graphically as a non-equal range on one side of the line.

Step-by-step explanation:

A linear inequality is a mathematical statement that two linear expressions, or a linear expression and a constant, are not equal. Linear equations, such as y = a + bx, where a is the y-intercept and b is the slope, describe a straight line on a graph. However, an inequality will show a range of values for which a linear relationship is not equal. This is seen graphically as a portion of the coordinate plane that is either above or below a line, depending on the inequality, and algebraically with symbols such as >, <, >=, or <=. In real-world application, linear inequalities are used to represent situations where there are limitations or thresholds, for example, budget constraints or minimum requirements.

answered
User BvdVen
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8.4k points
3 votes

Answer:

inequality

Step-by-step explanation:

Emphasis on in because that is the part that negates the equality.

Inequalities fit the description of all of the following.

1) 2 Linear Expressions: 2x ? 5y (EXAMPLE)

Linear expressions are expressions that have a variable to the first power.

2) OR Linear Expression and a Constant: 2x ? 5

A constant is a fixed value. For example, a variable is NOT a constant because if the variable changes, the value changes.

3) Are not equal: >, <,
\geq,
\leq

Greater than, less than, greater than or equal to, and less than or equal to, are NOT equality.

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User Foens
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