Explain to me about inequality indepth

Mathematics

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Inequalities are mathematical statements that compare two expressions using symbols like <<, >>, ≤\le, or ≥\ge. They indicate that one expression is less than, greater than, less than or equal to, or greater than or equal to another.

  • The symbol << means "less than". For example, 3<53 < 5 means 3 is less than 5.
  • The symbol >> means "greater than". For example, 7>27 > 2 means 7 is greater than 2.
  • The symbol ≤\le means "less than or equal to". For example, x≤4x \le 4 means xx can be 4 or any number less than 4.
  • The symbol ≥\ge means "greater than or equal to". For example, y≥10y \ge 10 means yy can be 10 or any number greater than 10.

Inequalities are used to describe a range of values rather than a single value, unlike equations. For instance, if a problem states that a student must score at least 80% to pass, this can be represented by the inequality S≥80S \ge 80, where SS is the student's score. This means any score of 80% or higher will result in a passing grade.

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