Find the solution to each inequality. Display your solution two ways, using symbols and using a number line graph. a.

$$x^{2}+3 x<x+8$$

b.

$$\frac{20}{x} \geq 10$$

c.

$$2 x+3>x^{2}+5$$

Busca al intruso y explica por qué. (Look for the intruder and explain why.)

$\hspace{10pt}$ MODELO la escuela / el dentista / la biblioteca

$\hspace{45pt}$ el dentista: A school and a library have books.

la oficina / el parque / el banco

Use your school's library, the Internet, or some other reference source to find information about the start-up costs of beginning a business, such as the example above. Write a short paper about the company.

Two numbers are added together, then divided by two to find their average. Let's say we want to calculate the average of $\dfrac{3}{8}$ and $\dfrac{5}{6}$. Write in symbols: The sum of $\frac{3}{8}$ and $\frac{5}{6}$, divided by 2. The result should be a complex fraction.

The following statement include one or more phrases that can be symbolized with one of the inequality symbols $<, \leq,>$, or $\geq$. In thegiven exercise, give the inequality symbol for the boldface italic words. As of December $2007$, airline passengers were allowed one carry-on bag, with dimensions totaling at most $45$ in.

Each new book donated to a library must be processed. Suppose that the time it takes a librarian to process a book has mean 10 minutes and a standard deviation of 3 minutes. If a librarian has 40 books that must be processed one at a time,

a) approximate the probability that it will take more than 420 minutes to process all these books;

b) approximate the probability that at least 25 books will be processed in the first 240 minutes.

Working independently, use the chart to analyze how the poets use symbols to develop the themes of these poems. Gather your notes and then share with your group.

SYMBOL: The starling in "The Writer"

What does the starling represent to the speaker?

Busca al intruso y explica por qué. (Look for the intruder and explain why.)

$\hspace{10pt}$ MODELO la escuela / el dentista / la biblioteca

$\hspace{45pt}$ el dentista: A school and a library have books.

fantástico / simpático / también

Working independently, use the chart to analyze how the poets use symbols to develop the themes of these poems. Gather your notes and then share with your group.

SYMBOL: Alfred's voice in "Hugging the Jukebox"

What is the poem's theme? How does the symbol help develop the theme?

Simplify each expression. Assume that m and n are integers and that x and y are nonzero real numbers. (y^(5m))^(2n)

Translate from words to symbols. Use $x$ as the variable. True or false? $\dfrac{8(7)-5(6+2)}{3 \cdot 5+1} \geq 1$

Alloys are usually mixtures of metals. Give the elemental compositions of the common alloys: brass, bronze, common solder, and white gold. You may have to do an Internet search or consult a handbook of chemistry in the library for the necessary information.

Indicate the charge on each of the ions represented by the following Lewis dot symbols:

a)$\left[\hspace{.04cm}\underset{ ^{\normalsize ..}}{\stackrel{\normalsize..}{\text{:\hspace{.01cm}O \hspace{-.1cm}:}}}\hspace{.04cm}\right]^{?}$

b) $\text{H}^?$

c) $\left[\hspace{.04cm}\underset{ ^{\normalsize ..}}{\stackrel{\normalsize..}{\text{:\hspace{.01cm}P \hspace{-.1cm}:}}}\hspace{.04cm}\right]^{?}$

Working independently, use the chart to analyze how the poets use symbols to develop the themes of these poems. Gather your notes and then share with your group.

SYMBOL: The poem in "I Am Offering This Poem"

What details does the speaker use to describe the poem?