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Introduction to Irrational Numbers

If x=2 z and ...

Question

If x = 2z and z is an integer, then x is

a special number

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an odd number

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an even number

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Solution

The correct option is C an even number
On analysing we see that
x = 2z means x is two times of z.

Any number which is two times of an integer is an even number because it will always be divisible by 2.

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Similar questions

λ

x - λ = 2 y - 1 = - 2 z

x = y + 2 λ = z - λ

\frac{\sqrt{7}}{2 \sqrt{2}},

| λ |

x + y = 2 z

\frac{x}{x - z} + \frac{z}{y - z}

Δ_{1} = ∣ ∣ ∣ ∣ \begin{matrix} x - y - z & 2 x & 2 x 2 y & y - z - x & 2 y 2 z & 2 z & z - x - y \end{matrix} ∣ ∣ ∣ ∣

Δ_{2} = ∣ ∣ ∣ ∣ \begin{matrix} x + y + 2 z & x & y z & y + z + 2 x & y z & x & z + x + 2 y \end{matrix} ∣ ∣ ∣ ∣

z

| z | + | z - 1 | + | 2 z - 7 |

λ .

y = 2 [x] + 3 = 3 [x - λ],

[.]

[x + y]

\frac{x}{2 y + z - x} = \frac{y}{2 z + x - y} = \frac{z}{2 x + y - z}

x + y + z \neq 0

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