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jenrespect
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Please help me. What is the next step to get rid of the absolute value?
I tried using its property but I don't know if its correct.
I tried using its property but I don't know if its correct.
Is this a homework question? Homework questions need to be posted in the Homework & Coursework sections.jenrespect said:
Matterwave said:
Absolute value inequality is a mathematical expression that compares the absolute value of two numbers using the symbols <, >, ≤, or ≥. It is used to show the relationship between two numbers or expressions, indicating which one is larger or smaller.
To solve absolute value inequalities, you must first isolate the absolute value expression on one side of the equation. Then, remove the absolute value bars by creating two separate equations without the bars, one using a positive sign and one using a negative sign. Solve each equation separately and determine the solutions that satisfy the original inequality.
Absolute value inequality is used in real life situations, such as in finance, to determine the range of values that a variable can take on. It is also used in physics to calculate the magnitude of a vector, and in statistics to measure the deviation from the mean.
One common mistake when solving absolute value inequalities is forgetting to create two separate equations when removing the absolute value bars. Another mistake is incorrectly flipping the inequality symbol when dividing by a negative number in the process of isolating the absolute value expression.
Yes, there is a difference between absolute value and absolute value inequality. Absolute value refers to the distance of a number from zero on a number line, while absolute value inequality compares the absolute values of two numbers or expressions to show their relationship.