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-5⎜x - 3⎟ - 5 < 15

Pls

Sagot :

Rwilson2761idn

−5(|x−3|)−5<15

Step 1: Add 5 to both sides.

−5(|x−3|)−5+5<15+5

−5(|x−3|)<20

Step 2: Divide both sides by -5.

−5(|x−3|)

−5

<

20

−5

|x−3|>−4

Step 3: Solve Absolute Value.

|x−3|>−4

We know eitherx−3>−4orx−3<−(−4)

x−3>−4(Possibility 1)

x−3+3>−4+3(Add 3 to both sides)

x>−1

x−3<−(−4)(Possibility 2)

x−3<4(Simplify both sides of the inequality)

x−3+3<4+3(Add 3 to both sides)

x<7

Answer:

x>−1 or x<7

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