# How do you solve and graph #abs(t+6)>4#?

See a solution process below:

The absolute value function takes any negative or positive term and transforms it to its non-negative form. Therefore, we must solve the term within the absolute value function for both its negative and positive equivalent.

Subtract

Or

Or, in interval notation:

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To solve and graph the absolute value inequality (|t+6| > 4), first set up two cases: one where (t+6) is greater than 4, and another where (t+6) is less than -4. Solve each case separately to find the solution set for (t), and then graph the solutions on the 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.

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- How do you graph #abs(3x+4) < 8#?
- How do you solve and graph the compound inequality #2x - 6 < -14# or #2x + 3 < 1# ?

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