What is the answer to |x-4|+6=9 ?

The answer to |x-4|+6=9 is x=1\lor x=7

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|x-4|+6=9

∣ x - 4 ∣ + 6 = 9

x = 1 or x = 7

Solution steps

∣ x - 4 ∣ + 6 = 9

Move

6

to the right side

∣ x - 4 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 4 = - 3 or x - 4 = 3

x - 4 = - 3 or x - 4 = 3

x = 1 or x = 7

\frac{1}{2} \cdot 14

x^{2} - 2 x + 8 \leq 0

- x^{2} + 6 x - 9 \geq 0

\frac{( 8.7 - x )}{10000} - \frac{0.7}{10000} = \frac{\frac{( x - 0.7 )}{390}}{250}

\frac{4 \cdot 16 \cdot 27 \cdot 3 ^{- 2}}{2 ^{6} \cdot 3 ^{- 2} \cdot 3 ^{3} \cdot 2 ^{6}}