Compound Inequalities

A(n) _______________________ inequality is an inequality formed by joining two inequalities with the word AND or the word OR.

• compound

• consistent

• equilateral

• congruent

 $F\ =\ \frac{9}{5}C\ +\ 32\$  

It is recommended to store chocolate between 15 and 20 degrees Celsius. Which solution represents possible storage temperatures in Fahrenheit?

• 59 to 68 

• 49 to 58 

• 39 to 48 

• 29 to 28 

 $24\ >-3r\ \ge\ -\ 9\$  

Solve the inequality.

•  $8\ >\ r\ >\ 3\$  

•  $-\ 8\ <\ r\ \le\ 3\$  

•  $-\ 8\ <\ r\ <\ 3$  

•  $8\ <\ r\ \le\ -\ 3\$  

Mount Rainier in Washington features dense forests in its lower elevations. Pines grow above 1700 feet all the way to 2500 feet. Which compound inequality represents this data?

• $1700\ <\ h\ \le\ 2500$

• none of these

• $1700\ >\ h\ >\ 2500\$

• $h\ >\ 1700\ OR\ h\ <\ 800$

 $-\ 14\ >\ w\ +\ 3\ OR\ 3w\ \ge\ -\ 27\$  

•  $all\ real\ numbers\$  

•  $w\ <\ -\ 17\ OR\ w\ \ge\ -\ 9\$  

•  $no\ solution\$  

•  $w\ >\ -\ 17\ OR\ w\ \le\ 9\$  

 $-\ 6\ <\ 3n\ +\ 9\ <\ 21\$  

•  $-\ 5\ <\ n\ <\ 4\$  

•  $5\ <\ n\ <\ -\ 4\$  

•  $4\ <\ n\ <\ 5\$  

•  $4\ <\ n\ OR\ 9\ >\ n\$  

A number n is less than or equal to - 7 or greater than 12

• $none\ of\ these\$

• $n\ \le\ -\ 7\ OR\ n\ >\ 12\$

• $-\ 7\ <\ n\ <\ 12\$

• $n\ =\ -7\ AND\ n\ =\ 12\$

A number x is no less than 2 and fewer than 10

• $none\ of\ these\$

• $2\ \le\ x\ <10\$

• $-\ 2\ \le\ x\ \le\ 10\$

• $2\ >\ x\ >\ -\ 10\$

Winter boots are rated for use when temperatures range between negative 40 degrees and 15 degrees. Which inequality that shows this.

• $-\ 40\ \le\ x\ \le\ 15\$

• $-\ 40\ \ge\ x\ \ge\ 15\$

• $40\ \le\ x\ \le\ 15\$

• $x\ \le\ -\ 40\ OR\ x\ \ge\ 15\$