What is the answer to 3-2|2j-5|=-4 ?

The answer to 3-2|2j-5|=-4 is j= 3/4 \lor j= 17/4

Solve for j: 3-2|2j-5|=-4

The solution is j= 3/4 \lor j= 17/4

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3 - 2 ∣ 2 j - 5 ∣ = - 4

j = \frac{3}{4} or j = \frac{17}{4}

Solution steps

3 - 2 ∣ 2 j - 5 ∣ = - 4

Move

3

to the right side

- 2 ∣ 2 j - 5 ∣ = - 7

Divide both sides by

- 2

∣ 2 j - 5 ∣ = \frac{7}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 j - 5 = - \frac{7}{2} or 2 j - 5 = \frac{7}{2}

2 j - 5 = - \frac{7}{2} or 2 j - 5 = \frac{7}{2}

j = \frac{3}{4} or j = \frac{17}{4}

∣ x - 3 ∣ + 2 = 18

∣ k ∣ - 7 = - 7

∣ 2 x + 8 ∣ = 0

∣ 2 x + 8 ∣ = 2

∣ 12 - 6 x ∣ = 3

What is the answer to 3-2|2j-5|=-4 ?
The answer to 3-2|2j-5|=-4 is j= 3/4 \lor j= 17/4
Solve for j: 3-2|2j-5|=-4
The solution is j= 3/4 \lor j= 17/4