Determine whether each statement in Exercises 43–50 is true or false. 0 ≥ -6
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Identify the inequality given: .
Understand the meaning of the inequality symbol , which means 'greater than or equal to'.
Compare the two numbers: 0 and -6.
Recognize that 0 is greater than -6 on the number line.
Conclude that the statement is true because 0 is indeed greater than -6.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Inequalities
Inequalities are mathematical expressions that compare two values or expressions, indicating whether one is greater than, less than, or equal to the other. In this context, the symbol '≥' means 'greater than or equal to,' which is essential for understanding the relationship between the numbers involved.
A number line is a visual representation of numbers in a straight line, where each point corresponds to a number. It helps in understanding the relative positions of numbers, such as positive and negative values, which is crucial for evaluating statements involving inequalities.
Negative numbers are values less than zero, while positive numbers are greater than zero. Understanding the properties of these numbers is vital for evaluating inequalities, as it allows one to determine the truth of statements like '0 ≥ -6' by recognizing that zero is indeed greater than negative six.