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.
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.
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
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.