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 1Translating Sentences into Inequalities

Translate each sentence into an inequality.

a. The quotient of a number and 2 is less than or equal to 6.

b. 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 2Translating Sentences into Inequalities

Translate each sentence into an inequality.

a. The difference of a number and 2.8 does not equal 8.2.

b. The sum of the product of 20 and a number and 75 is at least 195.

Lesson Practice

Translate each sentence into an inequality

The sum of half a number and 3 does not equal 8.

Lesson Practice

Translate each sentence into an inequality

The product of 11 and a number is less than 121.

Example 3Translating Inequalities into Words

Write each inequality as a sentence.

a. 6 > x + 8

b. 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 4Translating Inequalities into Words

Write each inequality as a sentence.

a. – 2x + 4 ≥ – 8

b. 3x – 6 ≤ –30

Lesson Practice

Write the inequality as a sentence.

9 > x – 8 13

Lesson Practice

Write the inequality as a sentence.

≤ 8 a7

Example 5Application: 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.