Here are the essential concepts you must grasp in order to answer the question correctly.
Inequalities
Inequalities are mathematical statements that express the relationship between two expressions that are not necessarily equal. They use symbols such as ≤ (less than or equal to), ≥ (greater than or equal to), < (less than), and > (greater than). Solving inequalities involves finding the values of the variable that make the inequality true, which can often lead to a range of solutions rather than a single value.
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Interval Notation
Interval notation is a way of representing a set of numbers between two endpoints. It uses parentheses and brackets to indicate whether the endpoints are included in the set. For example, (a, b) means all numbers between a and b, excluding a and b, while [a, b] includes both endpoints. This notation is particularly useful for expressing the solution sets of inequalities.
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Combining Like Terms
Combining like terms is a fundamental algebraic process that simplifies expressions by merging terms that have the same variable raised to the same power. For example, in the expression (1/3)x + (2/5)x, both terms can be combined to form a single term. This step is crucial when solving inequalities, as it helps to reduce the complexity of the expression and isolate the variable.
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