What is the answer to 1-5|5-2n|=-4 ?

The answer to 1-5|5-2n|=-4 is n=2\lor n=3

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1-5|5-2n|=-4

1 - 5 ∣ 5 - 2 n ∣ = - 4

n = 2 or n = 3

Solution steps

1 - 5 ∣ 5 - 2 n ∣ = - 4

Move

1

to the right side

- 5 ∣ 5 - 2 n ∣ = - 5

Divide both sides by

- 5

∣ 5 - 2 n ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 - 2 n = - 1 or 5 - 2 n = 1

5 - 2 n = - 1 or 5 - 2 n = 1

n = 2 or n = 3

∣ 4 x + 5 ∣ - 4 = 20

5 ∣ - f + 4 ∣ - 6 = 14

\frac{∣ 3 x - 5 ∣}{4} = - 1

∣ x - 2 ∣ = 4 x - 14

- 18 = 9 ∣ - 2 w ∣