How do you solve and graph #abs(5v+3)> -9#?
The absolute value function always produces a value that is greater than or equal to 0, therefore, all values will be greater than -9; this can be written as:
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To solve the absolute value inequality abs(5v + 3) > -9 and graph the solution, follow these steps:
- Recognize that the absolute value of any expression is always non-negative, meaning it is greater than or equal to zero.
- Since -9 is already a negative number, the absolute value of any expression cannot be greater than it. So, the absolute value inequality abs(5v + 3) > -9 is true for all values of v.
- Therefore, the solution to the inequality is all real numbers.
- To graph the solution, you would draw a number line with all real numbers marked on it. Since the solution includes all real numbers, you would shade the entire number line to indicate this.
- The graph would look like a horizontal line covering the entire number line.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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