How to write the following as a mathematical equation: x is less than 7 times the values of 1/3 the price and the price is A.

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justaguide eNotes educator | Certified Educator

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We have to express the following : "x is less than 7 times the values of 1/3 the price and the price is A" as an equation.

The price is equal to A and x is less than 7 times the values of 1/3 the price.

x < 7 ( 1/3)*A

Therefore we don't get an equation, instead the inequation is  : x < (7/3)*A.

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hala718 eNotes educator | Certified Educator

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All we need to do is translate words into mathematical symbols so we can solve the problem.

Let us translate the statements.

Given the number x, is less that 7 times the values of 1/3 the price .

Also, given that the price = A

Then we will rewrite.

x is less than 7 time the values of (1/3)A

We will rewrite x is less as x <

==> x < 7 times the values of (1/3)A

We will translate 7 times as 7 *

==> x < 7* (1/3)A

==> x < (7/3)*A

Then, the mathematical expression of the statement is:

x < (7/3)A

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neela | Student

We follow the steps exactly as discribed.X is less than 7 times the price. An mathematical equation or equality is a relation between two or more two or more  expressions involvingvariables. 

Similarly an inequality is is also a relation between two or more expressions.

Examples:  x = y is an equation.

5x > 2x +y is an inequality.

So x <  7*  (1/3) of price,

=>  x < (7/3)*Price...(1)

Price is A. Or Price = A. So we substitute A

Therefore x < (7/3)A.

So We got x < (7/3)A.

We can Multiply by 3 and we get:

3x< 7A is the required inequality.

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