Question

If 3 is added to the absolute value of the product of a number and –9, the result is 4.

Answer 1

± (1 ÷ 9)

Explanation:

Data provided in the question

Since 3 is added to the absolute value and -9

The result is 4

Now this information should be transformed in a mathematical equation

Let us assume be x so the product of the number and -9 be -9x

Fo rthe absolute value we use the mode. Thus the required expression is:

3 + |-9x|

Given that the result is 4

So, it would be

3 + |-9x| = 4

Now Solving the above equation which is given below:

|-9x| = 4-3

|-9x| = 1

here we will remove the mode by introducing ± sign which is shown below:

-9x = ± 1

-9x = 1 or -9x = -1

x = -1/9

or

x =
`(1)/(9)`

Therefore, the value of x is ± (1 ÷ 9).