What is the answer to |2x-3|-4=1 ?

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

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|2x-3|-4=1

∣ 2 x - 3 ∣ - 4 = 1

x = - 1 or x = 4

Solution steps

∣ 2 x - 3 ∣ - 4 = 1

Move

4

to the right side

∣ 2 x - 3 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 3 = - 5 or 2 x - 3 = 5

2 x - 3 = - 5 or 2 x - 3 = 5

x = - 1 or x = 4

x^{3} - 3 x^{2} - 9 x + 11

- (\frac{1}{4})^{2}

6 (r - 8) = 8 r - 36

9 x - 2 = 70

8 (x + 2) + 3 \leq x - 4