solving inequalities

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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, greater than or equal to, or less than or equal to the other.

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What does the symbol '>' represent in inequalities?

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'>' means 'greater than'. For example, x > 5 means x is any number greater than 5.

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What does the symbol '<' represent in inequalities?

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'<'' means 'less than'. For example, x < 3 means x is any number less than 3.

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What does the symbol '≥' represent in inequalities?

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'≥' means 'greater than or equal to'. For example, x ≥ 4 means x is either 4 or any number greater than 4.

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What does the symbol '≤' represent in inequalities?

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'≤' means 'less than or equal to'. For example, x ≤ 7 means x is either 7 or any number less than 7.

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Draw a number line, place an open circle at 3, and shade to the left to indicate all numbers less than 3.

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First, split into two inequalities: 1 < 2x + 3 and 2x + 3 < 7. Solve each: x > -1 and x < 2. The solution is -1 < x < 2.