How do you solve #abs(152x)=8#?
This kind of equation has two possible answers.
Eliminating the 'bars' provides.
Add 15 to each side.
split each side by 2.
These values are the solutions if you substitute them into the left side of the equation and see if they equal the right side.
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To solve the equation 15  2x = 8:

Split the equation into two cases: Case 1: 15  2x ≥ 0 Case 2: 15  2x < 0

For Case 1: 15  2x = 8 Solve for x: 2x = 8  15 2x = 7 x = 7/2 x = 7/2

For Case 2: (15  2x) = 8 Solve for x: 15 + 2x = 8 2x = 8 + 15 2x = 23 x = 23/2

Check the solutions in the original equation to ensure they are valid.

The solutions to the equation are x = 7/2 and x = 23/2.
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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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