Page 297 - Algebra 1

L E S S O N Translating Between Words and Inequalities 45
Warm Up
New Concepts
1. A(n) is an expression with constants and/or variables that uses
(9)
the operations +, -, ×, or ÷. Simplify.
2. -1 + (-2)2 - √ 9 (13) _
3. √ 40 0 + √ 22 5 - √ 81 - √ 10 0 (13) _
x3y2 4. 4
x3y-3z 5. 2 5
(32) xy
(32) x yz
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.
Translating Sentences into Inequalities
Translate each sentence into an inequality.
a. The quotient of a number and 2 is less than or equal to 6.
Reading Math
The inequality symbols and their meanings are shown below.
< less than
> greater than
≤ less than or equal to
≥ greater than or equal to
≠ does not equal
Example
1
SOLUTION
_n ≤ 6 2
operation: division inequality: ≤
Hint
Remember that division can be shown using
a fraction. The first term, n, in the statement “the quotient of a number and 2” is the numerator. The second term, 2, is the denominator.
b. _1 is greater than the product of a number and _3 . 24
SOLUTION
_1 > _3 y 24
operation: multiplication inequality: >
Online Connection www.SaxonMathResources.com
c. The difference of a number and 2.8 does not equal 8.2. operation: subtraction inequality: ≠
SOLUTION
g - 2.8 ≠ 8.2
d. The sum of the product of 20 and a number and 75 is at least 195. addition 20x 75 ≥ 195
SOLUTION
20x + 75 ≥ 195
282 Saxon Algebra 1
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