Bell Quiz
Objectives Translate between words and inequalities.
Inequalities An inequality is a mathematical statement comparing quantities that are not equal. To translate between words and symbolic forms of inequalities, it helps to be familiar with the meaning of terms and symbols. Inequalities can have any number of operations and variables.
Example 1 Translating Sentences into Inequalities Translate each sentence into an inequality. The quotient of a number and 2 is less than or equal to 6. ½ is greater than the product of a number and ¾.
Lesson Practice Translate each sentence into an inequality The quotient of an unknown number and – 2 is greater than – 9
Lesson Practice Translate each sentence into an inequality 0 is less than or equal to the difference of twice a number and 8.
Example 2 Translating Sentences into Inequalities Translate each sentence into an inequality. The difference of a number and 2.8 does not equal 8.2. The sum of the product of 20 and a number and 75 is at least 195.
Lesson Practice The sum of half a number and 3 does not equal 8. Translate each sentence into an inequality The sum of half a number and 3 does not equal 8.
Lesson Practice The product of 11 and a number is less than 121. Translate each sentence into an inequality The product of 11 and a number is less than 121.
Example 3 Translating Inequalities into Words Write each inequality as a sentence. 6 > x + 8 2.5z < 15
Lesson Practice Write the inequality as a sentence. 12b ≥ – 8
Lesson Practice Write the inequality as a sentence. 1.5x + 2.5 < 11.5
Example 4 Translating Inequalities into Words Write each inequality as a sentence. – 2x + 4 ≥ – 8 3x – 6 ≤ –30
Lesson Practice Write the inequality as a sentence. 9 > x – 8 1 3
Lesson Practice Write the inequality as a sentence. ≤ 8 a 7
Example 5 Application: Soccer Team Clothing Jonas in purchasing 15 screen-printed warm-up suits for his soccer team. He can spend $1000 at most. There is a set-up fee of $25 for the screen-printing. What can he spend at most on each suit including tax and printing costs?
Lesson Practice The lowest temperature at which a piece of beef can be cooked rare is 140°F the formula used to convert degrees Celsius to degrees Fahrenheit is ddddd Write an inequality for an equivalent reading in degrees Celsius for a piece of beef cooked rare.