en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Word Problems >

Translate the following sentence into an algebraic inequality: The quotient of a number, x, and nine is less than eight more than the product of five and the same number x.

Solution

T r an s l a t e t h e f o ll o w in g se n t e n ce in t o an a l g e b r ai c in e q u a l i t y : T h e q u o t i e n t o f a n u mb er, x, an d nin e i s l ess t han e i g h t m ore t han t h e p ro d u c t o f f i v e an d t h e s am e n u mb er x .

Solution

x > - \frac{18}{11}

Solution steps

Represent the number with

x

A.T.Q.:

\frac{x}{9} < 8 + 5 x

Solve for

x, \frac{x}{9} < 8 + 5 x : x > - \frac{18}{11}

x > - \frac{18}{11}

Popular Examples

A watch was sold for 80, resulting in a 20% loss. What was the initial cost?what is the approximate circumference of a circle with diameter of 8mm 150% of what number is 24?What is the original price of an item that costs 195 after a 30% increase?Eight less than the product of 7 and a number equals 4.