{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "source": [
        "# Sección 1.6"
      ],
      "metadata": {
        "id": "amsqHHs0iEoX"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "La función solveset de sympy recibe como parámetros una inecuación y la variable cuya solución debemos calcular."
      ],
      "metadata": {
        "id": "zTe03F3biR1S"
      }
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 38
        },
        "id": "417c34f6",
        "outputId": "8fa156d5-799f-477e-bcc4-7931ff90b501"
      },
      "source": [
        "import sympy\n",
        "\n",
        "x = sympy.Symbol('x')\n",
        "\n",
        "# Definimos la inecuación\n",
        "inecuacion = (x - 1) * (2 - 3*x) <= (2*x + 7) * (x - 2) - 4\n",
        "\n",
        "# Mostramos la inecuación\n",
        "inecuacion"
      ],
      "execution_count": 1,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(2 - 3*x)*(x - 1) <= (x - 2)*(2*x + 7) - 4"
            ],
            "text/latex": "$\\displaystyle \\left(2 - 3 x\\right) \\left(x - 1\\right) \\leq \\left(x - 2\\right) \\left(2 x + 7\\right) - 4$"
          },
          "metadata": {},
          "execution_count": 1
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "En este caso, también se incluye el parámetro del dominio para indicarle a sympy que buscamos soluciones Reales."
      ],
      "metadata": {
        "id": "pvo2fFn1jRw0"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Resolvemos la inecuación\n",
        "solucion = sympy.solveset(inecuacion, x, domain=sympy.Reals)\n",
        "\n",
        "# Mostramos el conjunto solución\n",
        "solucion"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 58
        },
        "id": "ePgIpPNJiink",
        "outputId": "637d95e7-5bf1-4396-a691-d39baeff6a00"
      },
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Union(Interval(-oo, -8/5), Interval(2, oo))"
            ],
            "text/latex": "$\\displaystyle \\left(-\\infty, - \\frac{8}{5}\\right] \\cup \\left[2, \\infty\\right)$"
          },
          "metadata": {},
          "execution_count": 2
        }
      ]
    }
  ]
}