Questions: Solve the compound inequality. -6 ≤ 5x - 16 ≤ 4

Solve the compound inequality. -6 ≤ 5x - 16 ≤ 4
Transcript text: Solve the compound inequality. \[ -6 \leq 5 x-16 \leq 4 \]
failed

Solution

failed
failed

Solution Steps

To solve the compound inequality \(-6 \leq 5x - 16 \leq 4\), we need to break it into two separate inequalities and solve each one individually. Then, we find the intersection of the solutions to get the final answer.

  1. Solve the first inequality: \(-6 \leq 5x - 16\)
  2. Solve the second inequality: \(5x - 16 \leq 4\)
  3. Combine the solutions from both inequalities to find the range of \(x\).
Step 1: Isolate the variable term in the compound inequality

We start with the given compound inequality: \[ -6 \leq 5x - 16 \leq 4 \]

To isolate the term containing \(x\), we need to add 16 to all parts of the inequality: \[ -6 + 16 \leq 5x - 16 + 16 \leq 4 + 16 \]

Simplifying each part, we get: \[ 10 \leq 5x \leq 20 \]

Step 2: Solve for \(x\)

Next, we divide all parts of the inequality by 5 to solve for \(x\): \[ \frac{10}{5} \leq \frac{5x}{5} \leq \frac{20}{5} \]

Simplifying each part, we get: \[ 2 \leq x \leq 4 \]

Final Answer

The solution to the compound inequality is: \[ \boxed{2 \leq x \leq 4} \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Name the axis or quadrant in which the point (0,5) lies. y-axis x-axis I II
failedAnswered
of the characteristics of an epic in the Text Analysis Workshop on pages 38-39. Then use a chart like the one shown to list Beowulf's traits as an epic hero and the deeds that reveal these traits. Is he a typical epic hero? 4. Analyze Old English Poetry Review the list you created as you read. In what ways might the alliteration, caesuras, and kennings in Beowulf have helped Anglo-Saxon poets chant or sing the poem and convey its meaning? 5. Analyze Theme Beowulf is able to defeat Grendel and Grendel's mother, yet he loses his life when he battles the dragon. What themes does this suggest about the struggle between good and evil? 6. Compare and Contrast Compare and contrast the portrayals of Beowulf as a young and old man. Also compare Hrothgar's recollections of his early deeds with his limitations as an aged king. What view of youth and age do these comparisons convey? Support your conclusions with specific evidence. 7. Draw Conclusions Describe Beowulf's attitude toward death or mortality in each of the following passages: lines 179-189, lines 481-492, and lines 665-691. How does his attitude change over time? 8. Evaluate Author's Purpose Reread lines 81-85, which reveal the influence of Christianity on the Beowulf Poet. Why might the poet have chosen to describe Hrothgar and Grendel in terms of their relationship to God? Text Criticism 9. Different Perspectives In his 20th-century novel Grendel, writer John Gardr tells the story of Grendel's attacks against the Danes from the monster's point of view. Consider the selection you have read from the perspectives of Grendel, Grendel's mother, and the dragon. What reasons might each of them have to hate Beowulf and other men?
failedAnswered
Nuestro cliente, Vivita, es una importante aseguradora de Asia que vende pólizas de seguro de vida a término. A cambio de una prima anual (por ejemplo, 100 dólares), promete pagar una suma global (por ejemplo, 100.000 dólares) en caso de que el asegurado fallezca durante ese año. Por lo tanto, la rentabilidad del producto depende principalmente de la precisión con la que los suscriptores de Vivita puedan pronosticar el riesgo de que los asegurados presenten reclamaciones durante el período de vigencia del seguro. Tradicionalmente, las aseguradoras han estimado el riesgo de siniestro utilizando datos demográficos amplios, como la edad, el sexo y el tabaquismo. Con la llegada de los rastreadores de actividad física portátiles, Vivita tiene ahora la oportunidad de segmentar a sus clientes y fijar el precio de su póliza de vida a término con mayor precisión. En particular, está estudiando una propuesta, cuyo nombre en código es Project Wapple, para ofrecer un descuento en la prima a los nuevos suscriptores que se ofrezcan voluntariamente a comprar un rastreador de actividad física y realicen al menos una actividad física moderada durante todo el año. Vivita no tiene intención de subvencionar el coste del rastreador de actividad física en virtud de este programa.
failedAnswered
Which type of Administrative Message has a message number assigned by the sending agency?
failedAnswered
Next Post Test: Leaving a Legacy 31 Select the correct answer. Which step is an important part of the research process? A. developing a research question B. comparing sources with a classmate C. creating a multimedia presentation D. finding a place to publish your research Reset Next