Resuelve la siguiente inecuación: $$ \frac{3 \cdot s^{2}-4 \cdot s+2}{7 \cdot s+5} \geq 0 $$

Question

UpStudy AI · Accepted Answer

Solve the equation $$ \frac{3 \cdot s^{2}-4 \cdot s+2}{7 \cdot s+5} \geq 0 $$.
Solve the inequality by following steps:
- step0: Solve the inequality by separating into cases:
  $$\frac{3s^{2}-4s+2}{7s+5}\geq 0$$
- step1: Find the domain:
  $$\frac{3s^{2}-4s+2}{7s+5}\geq 0,s
eq -\frac{5}{7}$$
- step2: Separate into possible cases:
  $$\begin{align}&\left\{ \begin{array}{l}3s^{2}-4s+2\geq 0\7s+5\gt 0\end{array}ight.\&\left\{ \begin{array}{l}3s^{2}-4s+2\leq 0\7s+5\lt 0\end{array}ight.\end{align}$$
- step3: Solve the inequality:
  $$\begin{align}&\left\{ \begin{array}{l}s \in \mathbb{R}\s\gt -\frac{5}{7}\end{array}ight.\&\left\{ \begin{array}{l}s 
otin \mathbb{R}\s\lt -\frac{5}{7}\end{array}ight.\end{align}$$
- step4: Find the intersection:
  $$\begin{align}&s\gt -\frac{5}{7}\&s 
otin \mathbb{R}\end{align}$$
- step5: Find the union:
  $$s\gt -\frac{5}{7}$$
- step6: Check if the solution is in the defined range:
  $$s\gt -\frac{5}{7},s
eq -\frac{5}{7}$$
- step7: Find the intersection:
  $$s\gt -\frac{5}{7}$$
La solución de la inecuación $$ \frac{3 \cdot s^{2}-4 \cdot s+2}{7 \cdot s+5} \geq 0 $$ es $$ s > -\frac{5}{7} $$.
La solución es $$ s > -\frac{5}{7} $$.

Resuelve la siguiente inecuación:

Solución de inteligencia artificial de Upstudy

Responder

Solución

Mind Expander

preguntas relacionadas

Latest Algebra Questions