How do you graph and solve #4x+1<0#?
Since the absolute value is ALWAYS positive, there is no solution .
The absolute value of any variable or value must always be greater than or equal to zero . Therefore, this problem has no solution .
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To graph and solve the inequality (4x+1<0):

Recognize that an absolute value cannot be negative, so (4x+1) must be greater than 0.

Set up the inequality (4x+1 > 0) and solve for x.

Once you find the solution for x, graph it on the number line.

Since (4x+1) cannot be negative, there is no solution to the inequality (4x+1<0). Therefore, the graph will be an empty set or a blank number line.
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When evaluating a onesided 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 onesided 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 onesided 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 onesided 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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