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Chapter 0: Problem 81

Use an inequality symbol to write each statement. $$ 7 \text { is greater than }-1 $$

Short Answer

Expert verified
7 > -1

Step by step solution

01

Identify the Numbers

The two numbers in the statement are 7 and -1.
02

Identify the Relationship

The statement specifies that 7 is greater than -1.
03

Choose the Appropriate Inequality Symbol

The symbol for 'greater than' is '>'.
04

Write the Inequality

Combine the numbers and the inequality symbol to write the statement as: \[ 7 > -1 \]

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Key Concepts

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

mathematical expressions
Mathematical expressions are combinations of numbers, variables, and operators that represent a value or relationship. They form the basis of equations and inequalities.

For example:
  • Expressions: 4x + 5, 7 - 3, 9 梅 3
  • Inequality: 5x + 2 > 3
  • Equation: 3x + 4 = 10
Understanding how to read, write, and manipulate mathematical expressions is essential in algebra. In the context of inequalities, you're often asked to solve expressions and find the range of values that satisfy the inequality.
For the inequality \(7 > -1\), the expression itself is simple, showing a direct comparison between two numbers.
However, inequalities can involve more complex expressions, and solving them may require multiple steps, such as simplifying expressions and using properties of inequalities.

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Most popular questions from this chapter

Evaluate each expression for \(a=-3, b=64,\) and \(c=6 .\) $$ \sqrt{b}-c+a $$

Write each percent as a fraction. Give answers in lowest terms. See Example 13. $$ 47 \% $$

Simplify each expression. $$ \frac{(-5+\sqrt{4})-2^{2}}{-5-2} $$

When simplifying an expression, we usually do some steps mentally.Providing the property that justifies each statement in the given simplification. $$3 x+4+2 x+7$$ $$ =3 x+(2 x+4)+7 $$

The distributive property can be used to mentally perform calculations. $$\begin{array}{l}38 \cdot 17+38 \cdot 3 \\\=38(17+3) \\\=38(20) \\\=760\end{array} $$Use the distributive property to calculate each value mentally. $$ \frac{8}{5}(17)+\frac{8}{5}(13) $$
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