How do you solve #x  10 = 3#?
See a solution process below:
The absolute value function takes any term and transforms it to its nonnegative form. Therefore, we must solve the term within the absolute value function for both its negative and positive equivalent.
Solution 1:
Solution 2:
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To solve the equation (x  10 = 3), you have two cases:

When (x  10) is positive or zero: (x  10 = 3) (x = 3 + 10) (x = 13)

When (x  10) is negative: ((x  10) = 3) (x + 10 = 3) (x = 3  10) (x = 7) (x = 7) (Divide both sides by 1)
So the solutions are (x = 13) and (x = 7).
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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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