VIDEO
HIGHLIGHT
Log InSign up
Desigualdades dobles. Ejemplo 3.
SummaryTranscriptChat

Desigualdades dobles. Ejemplo 3.

Understanding Double Inequalities

Solving the Inequality -6 > 4x < 12

  • The discussion begins with the inequality -6 > 4x < 12, emphasizing that the variable x will be positioned in the center of the inequality.
  • To isolate x, values are moved across the inequality. The term +4 is subtracted from both sides, maintaining the direction of the inequality.
  • After simplifying, it’s noted that dividing by a negative number (in this case, -1) reverses the inequality symbols. This results in a new form of the inequality.

Graphical Representation of Solutions

  • A graphical approach is introduced to visualize solutions on a number line ranging from negative infinity to positive infinity, with critical points at -8 and 10.
  • The solution indicates that values greater than -8 move towards positive infinity while those less than or equal to 10 remain open-ended due to lack of equality in conditions.

Valid Solution Intervals

  • The valid interval for solutions is determined as (10, +∞), where both conditions are satisfied. The endpoints are represented with parentheses indicating they are not included in the solution set.
Video description

Con este video aprenderás a resolver desigualdades dobles y a analizar el conjunto solución a partir de la solución gráfica y con lo cual podrás determinar la solución en su forma de intervalo.