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.

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

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.

hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted on

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

neela | High School Teacher | (Level 3) Valedictorian

Posted on

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.