Final Algebra 1A Fall

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What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other. Examples include <, >, ≤, and ≥.

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The solution is the point where the two lines intersect, which is (2, -2).

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How do you write an inequality for the graph that shows values less than -1?

Back

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What is the slope-intercept form of a linear equation?

Back

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To sketch the solution, graph both lines as solid lines (since they include equality) and shade the region below both lines.

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What is the difference between a linear equation and a linear inequality?

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A linear equation represents a straight line, while a linear inequality represents a region of the plane that satisfies the inequality.

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What does it mean for a system of equations to be consistent?

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A system of equations is consistent if there is at least one solution, meaning the lines intersect at one or more points.