MathAnalytic geometry

Convex set

Theory

System of linear inequalities

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You are given a system of linear inequalities.
Is the area resulting from their intersection is convex? Choose all correct options.

  1. {2x+3y>010x−y<5\begin{cases}2x+3y>0\\ 10x-y <5 \end{cases}
  2. {x−y≤0x≥0y≥0\begin{cases} x-y \leq 0 \\ x \geq 0 \\ y \geq 0 \end{cases}
  3. {6x+y>16x+y<0\begin{cases} 6x+y>1\\ 6x+y<0 \end{cases}
Select one or more options from the list
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