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Chapter 0: Problem 50

Determine whether the statement is true or false. $$-2.1 \leq-2.1$$

Short Answer

Expert verified
True. -2.1 is equal to -2.1.

Step by step solution

01

Understand the Inequality Symbol

The inequality symbol \( \leq \) means 'less than or equal to'. This means that if the number on the left side is either less than or exactly equal to the number on the right side, then the inequality holds true.
02

Compare the Numbers

Examine the numbers on both sides of the inequality. In this case, both sides of the inequality are \( -2.1 \).
03

Determine the Validity

Since \( -2.1 \) is exactly equal to \( -2.1 \), the statement \( -2.1 \leq \ -2.1 \) is true.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

inequality comparison
Inequality symbols help to compare different numbers and expressions. They show how one value relates to another. There are several key inequality symbols:
  • < (\text{less than})
  • > (\text{greater than})
  • \textbackslash(\backslash eq (\text{less than or equal to})
  • \textbackslash(\backslash eq (\text{greater than or equal to})
    • In the given problem, we used the symbol \(\leq\). This symbolizes \

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Most popular questions from this chapter

Suppose that \(x\) represents the larger of two consecutive odd integers. a. Write a polynomial that represents the smaller integer. b. Write a polynomial that represents the sum of the two integers. Then simplify. c. Write a polynomial that represents the product of the two integers. Then simplify. d. Write a polynomial that represents the difference of the squares of the two integers. Then simplify.

Multiply and simplify. Assume that all variable expressions represent positive real numbers. $$ (\sqrt{7+3 \sqrt{z}})(\sqrt{7-3 \sqrt{z}}) $$

Multiply and simplify. Assume that all variable expressions represent positive real numbers. $$ (\sqrt{5+2 \sqrt{x}})(\sqrt{5-2 \sqrt{x}}) $$

Explain why \(x+\sqrt{7}\) is a polynomial, but \(\sqrt{x}+7\) is not a polynomial.

Add or subtract as indicated and simplify. $$ \left(-7 w^{5}+3 w^{3}-6\right)+\left(9 w^{5}-5 w^{3}+4 w-3\right) $$
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