In Exercises 1-4, make the given changes in the indicated...

In Exercises $1-4,$ make the given changes in the indicated examples of this section and then perform the indicated operations. In Example $2,$ in the first paragraph, change the $ > $ to $ < $ and then complete the meaning of the resulting inequality as in the first sentence. Rewrite the meaning as in the second line.

In Exercises $1-4,$ make the given changes in the indicated examples of this section and then perform the indicated operations.
In Example $2,$ in the first paragraph, change the $ > $ to $ < $ and then complete the meaning of the resulting inequality as in the first sentence. Rewrite the meaning as in the second line.

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Key Concepts

Inequality Symbols

Inequality symbols such as < and > are not just mathematical notation but also denote the relative sizes of numbers on the number line. Understanding these symbols is key for determining which numbers are greater or less than others and for maintaining clarity when the direction of the relationship is changed.

Interpreting Inequalities

Interpreting inequalities goes beyond merely reading the symbols; it involves translating the mathematical statement into a complete verbal explanation that describes the relationship. This process helps in understanding the meaning of the inequality and sets the stage for further operations or manipulations on the expression.

Translating Mathematical Expressions into Words

Translating an inequality from symbolic form into words is an essential skill. It ensures that the logic behind the expression is clearly conveyed and can be correctly interpreted. This practice is especially important when modifications are made, such as reversing the inequality sign, to maintain the intended relationship between the numbers.

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