{"id":250144,"date":"2024-07-02T13:22:18","date_gmt":"2024-07-02T13:22:18","guid":{"rendered":"https:\/\/namso-gen.co\/blog\/?p=250144"},"modified":"2024-07-02T13:22:18","modified_gmt":"2024-07-02T13:22:18","slug":"do-you-flip-the-sign-when-splitting-absolute-value","status":"publish","type":"post","link":"https:\/\/namso-gen.co\/blog\/do-you-flip-the-sign-when-splitting-absolute-value\/","title":{"rendered":"Do you flip the sign when splitting absolute value?"},"content":{"rendered":"

**Do you flip the sign when splitting absolute value?** <\/p>\n

When dealing with absolute value equations or inequalities, it is important to understand whether the sign needs to be flipped when splitting the absolute value. The answer to this question depends on whether you are working with an equation or an inequality.<\/p>\n

In absolute value equations, the sign does not need to be flipped when splitting. Let’s take a look at an example to illustrate this: |2x + 3| = 7. To solve this equation, we can split it into two separate equations: 2x + 3 = 7 and -(2x + 3) = 7. Solving the first equation gives us x = 2, while solving the second equation gives us x = -5. Notice that there was no need to flip the sign when splitting the absolute value.<\/p>\n

On the other hand, when working with absolute value inequalities, the sign does need to be flipped when splitting. Consider the inequality |2x + 3| < 7. To solve this inequality, we can split it into two separate inequalities: 2x + 3 < 7 and -(2x + 3) < 7. Solving the first inequality gives us x < 2, while solving the second inequality gives us x > -5. In this case, we had to flip the sign when splitting the absolute value.<\/p>\n

It is crucial to understand these distinctions when dealing with absolute value equations and inequalities to ensure accurate solutions. Let’s address some frequently asked questions regarding this topic:<\/p>\n

\n
\n

Table of Contents<\/p>\nToggle<\/span><\/path><\/svg><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n