Quiz
Resolver las siguientes desiguz 1 ades:

Ask by Harper Wade. in Colombia

Mar 19,2025

Question

Quiz Resolver las siguientes desiguz 1 ades: $$ *-\frac{x}{6}-12 \geq 24 $$ $$ * x^{2}-7 x-60<0 $$

UpStudy AI · Accepted Answer

Solve the inequality by following steps:
- step0: Solve for $$x$$:
  $$-\frac{x}{6}-12\geq 24$$
- step1: Multiply both sides:
  $$\left(-\frac{x}{6}-12ight)	imes 6\geq 24	imes 6$$
- step2: Multiply the terms:
  $$-x-72\geq 144$$
- step3: Move the constant to the right side:
  $$-x\geq 144+72$$
- step4: Add the numbers:
  $$-x\geq 216$$
- step5: Change the signs:
  $$x\leq -216$$
Solve the equation $$ x^{2}-7 x-60<0 $$.
Solve the inequality by following steps:
- step0: Solve the inequality by testing the values in the interval:
  $$x^{2}-7x-60<0$$
- step1: Rewrite the expression:
  $$x^{2}-7x-60=0$$
- step2: Factor the expression:
  $$\left(x-12ight)\left(x+5ight)=0$$
- step3: Separate into possible cases:
  $$\begin{align}&x-12=0\&x+5=0\end{align}$$
- step4: Solve the equation:
  $$\begin{align}&x=12\&x=-5\end{align}$$
- step5: Determine the test intervals:
  $$\begin{align}&x<-5\&-512\end{align}$$
- step6: Choose a value:
  $$\begin{align}&x_{1}=-6\&x_{2}=4\&x_{3}=13\end{align}$$
- step7: Test the chosen value:
  $$\begin{align}&x<-5	extrm{ }	extrm{is not a solution}\&-512	extrm{ }	extrm{is not a solution}\end{align}$$
- step8: The final solution is $$-5Las soluciones son: 1. $$ x \leq -216 $$ 2. $$ -5 < x < 12 $$

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Resolver las siguientes desiguz 1 ades:

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