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There is a closed carton of eggs in Mai's refrigerator. The carton contains \(e\) eggs, and it can hold 12 eggs.
What does the inequality \(e < 12\) mean in this context?
What does the inequality \(e > 0\) mean in this context?
What are some possible values of \(e\) that will make both \(e < 12\) and \(e > 0\) true?
Here is a diagram of an unbalanced hanger.
Jada is taller than Diego. Diego is 54 inches tall (4 feet, 6 inches). Write an inequality that compares Jada’s height in inches, \(j\), to Diego’s height.
Jada is shorter than Elena. Elena is 5 feet tall. Write an inequality that compares Jada’s height in inches, \(j\), to Elena’s height.
Tyler collected more than 10 glass bottles to be recycled. Elena collected more glass bottles than Tyler did. Mai collected more glass bottles than Elena did.
Let's say \(t\) represents the number of glass bottles that Tyler collected, \(e\) represents the number of glass bottles that Elena collected, and \(m\) represents the number of glass bottles that Mai collected. Select all statements that are true:
\(t < m\)
\(m > 10\)
\(e > 10\)
\(t > 10\)
\(e > m\)
\(t < e\)
Which is greater, \(\frac {\text{-}9}{20}\) or -0.5? Explain your reasoning.
Select all the expressions that are equivalent to \(\left(\frac{1}{2}\right)^3\).
\(\frac{1}{2} \boldcdot \frac{1}{2} \boldcdot \frac{1}{2}\)
\(\frac{1}{2^3}\)
\(\left(\frac{1}{3}\right)^2\)
\(\frac{1}{6}\)
\(\frac{1}{8}\)