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iris [78.8K]
3 years ago
12

|13x-4|+12 < 56 Anybody know this cuz I do

Mathematics
1 answer:
Ronch [10]3 years ago
8 0

Answer:

\displaystyle x\in \left(-\frac{40}{13},\frac{48}{13}\right)

Step-by-step explanation:

<u>Inequalities with Absolute Value</u>

We must recall the following rule:

\text{If  }|M|0

Then:

-N

We have the following inequality:

|13x-4|+12 < 56

Subtracting 12:

|13x-4|< 56-12

|13x-4|< 44

Applying the rule:

-44

Adding 4:

-44+4

Operating:

-40

Dividing by 13:

\displaystyle -\frac{40}{13}

The solution expressed in interval form is:

\boxed{\displaystyle x\in \left(-\frac{40}{13},\frac{48}{13}\right)}

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