Solve and Graph Inequalities

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What is an inequality?

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An inequality is a mathematical statement that compares two expressions using inequality signs such as <, >, ≤, or ≥.

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What does it mean to solve an inequality?

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To solve an inequality means to find all values of the variable that make the inequality true.

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When do you flip the inequality sign?

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You flip the inequality sign when you multiply or divide both sides of the inequality by a negative number.

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It means that x can be any number less than 3.

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You draw a number line, place a closed circle on 4, and shade to the right to indicate all numbers greater than or equal to 4.

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It represents all values of x that make the expression -2x + 3 greater than -7.

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It shows an open circle at -4 and shading to the left, indicating all numbers less than -4.

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The solution set includes all numbers greater than or equal to 3.

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It implies that x must be less than or equal to -4 after solving.