Describe the sets of points in space whose coordinates satisfy

Aaden Lam

Aaden Lam

Answered question

2022-01-24

Describe the sets of points in space whose coordinates satisfy the given inequalities or combinations of equations and inequalities.
x=y,z=0

Answer & Explanation

Natalia Thomas

Natalia Thomas

Beginner2022-01-25Added 7 answers

We have
x=y,z=0
Let the points with coordinates (α,β,γ) for α,β,γR satisfies the given equation, by equation x=y, we get
α=β (1)
And from equation z=0m we get
γ=0 (2)
Therefore from (1), (2) the coordinates of the required point are (α,α,0) for αR,
Hence the solution is S={(α,α,0):αR}

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