What is the answer to 1+| x/7 |=2 ?

The answer to 1+| x/7 |=2 is x=-7\lor x=7

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1+| x/7 |=2

1 + \frac{x}{7} = 2

x = - 7 or x = 7

Solution steps

1 + \frac{x}{7} = 2

Move

1

to the right side

\frac{x}{7} = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{x}{7} = - 1 or \frac{x}{7} = 1

\frac{x}{7} = - 1 or \frac{x}{7} = 1

x = - 7 or x = 7

x^{2} + 9 x + 14 = 0

∣ 2 x - 6 ∣ + 9 = 5

- 9 + ∣ 5 x + 10 ∣ = - 9

5 ∣ x - 4 ∣ - 11 = 2

∣ 3 - 6 m ∣ = 39