Make Up: Inequalities and System of Equations

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What is an inequality?

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An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or equal to the other. Common symbols include >, <, ≥, and ≤.

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What does the symbol '≥' represent in inequalities?

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'≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

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How do you graph the inequality @@y ge -x^2 + 2x + 1@@?

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What is a system of equations?

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A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

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What are the two main methods for solving systems of equations?

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The two main methods are substitution and elimination. Substitution involves solving one equation for a variable and substituting it into the other equation. Elimination involves adding or subtracting equations to eliminate a variable.

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What does it mean if a system of equations has no solution?

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A system has no solution if the equations represent parallel lines that never intersect.

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What does the term 'elimination' refer to in solving systems of equations?

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Elimination refers to the method of adding or subtracting equations to eliminate one variable, making it easier to solve for the remaining variable.

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What is the significance of the discriminant in a quadratic equation?

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