{"id":250139,"date":"2024-04-15T01:22:44","date_gmt":"2024-04-15T01:22:44","guid":{"rendered":"https:\/\/namso-gen.co\/blog\/?p=250139"},"modified":"2024-04-15T01:22:44","modified_gmt":"2024-04-15T01:22:44","slug":"do-you-flip-the-inequality-sign-for-absolute-value","status":"publish","type":"post","link":"https:\/\/namso-gen.co\/blog\/do-you-flip-the-inequality-sign-for-absolute-value\/","title":{"rendered":"Do you flip the inequality sign for absolute value?"},"content":{"rendered":"

**Do you flip the inequality sign for absolute value?** <\/p>\n

When dealing with absolute value inequalities, the inequality sign may or may not be flipped. The decision depends on the specific scenario and the elements involved in the inequality. Let’s delve into the details and explore this question further.<\/p>\n

Absolute value represents the distance of a number from zero on the number line. It is denoted by vertical bars surrounding the number, such as |x|. When solving absolute value inequalities, it is crucial to understand when to flip the inequality sign and when to leave it unchanged.<\/p>\n

In simple terms, you flip the inequality sign of an absolute value inequality when there is a negative number inside the absolute value bars. This is because the absolute value of a negative number is always positive.<\/p>\n

For example, let’s examine the inequality |x – 3| > 5. In this case, since there is no negative sign inside the absolute value bars, the inequality sign remains the same. Thus, the correct solution is x – 3 > 5.<\/p>\n

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