What is the answer to -2|4-x|+5/2 =1 ?

The answer to -2|4-x|+5/2 =1 is x= 13/4 \lor x= 19/4

Solve for x: -2|4-x|+5/2 =1

The solution is x= 13/4 \lor x= 19/4

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- 2 ∣ 4 - x ∣ + \frac{5}{2} = 1

x = \frac{13}{4} or x = \frac{19}{4}

Solution steps

- 2 ∣ 4 - x ∣ + \frac{5}{2} = 1

Move

\frac{5}{2}

to the right side

- 2 ∣ 4 - x ∣ = - \frac{3}{2}

Divide both sides by

- 2

∣ 4 - x ∣ = \frac{3}{4}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 - x = - \frac{3}{4} or 4 - x = \frac{3}{4}

4 - x = - \frac{3}{4} or 4 - x = \frac{3}{4}

x = \frac{13}{4} or x = \frac{19}{4}

- 2 < 3 x + 1

x^{2} + 8 x y + 12 y^{2}

\frac{2 - 6 i}{3 i}

4 x^{3} - 2 x^{2}

\frac{1}{4} (8 mn) (- 6 m^{2} n^{2})

What is the answer to -2|4-x|+5/2 =1 ?
The answer to -2|4-x|+5/2 =1 is x= 13/4 \lor x= 19/4
Solve for x: -2|4-x|+5/2 =1
The solution is x= 13/4 \lor x= 19/4