Here are the essential concepts you must grasp in order to answer the question correctly.
Compound Inequalities
A compound inequality consists of two or more inequalities that are combined into one statement by the words 'and' or 'or'. To solve a compound inequality, you must find the values of the variable that satisfy all parts of the inequality. In this case, the compound inequality is expressed as two separate inequalities that need to be solved simultaneously.
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Isolating the Variable
Isolating the variable is a fundamental algebraic technique used to solve equations and inequalities. This involves manipulating the inequality to get the variable on one side and the constants on the other. For the given compound inequality, you will need to add or subtract terms and multiply or divide by coefficients while maintaining the direction of the inequality.
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Equations with Two Variables
Inequality Properties
Inequality properties dictate how to manipulate inequalities while preserving their truth values. Key properties include the fact that multiplying or dividing both sides of an inequality by a negative number reverses the inequality sign. Understanding these properties is crucial for correctly solving compound inequalities and ensuring that the solution set is accurate.
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