Question

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

Answer 1

3+|n•-9|=4

|n•-9|=1

n•-9=1 Or n•-9= -1

n= -1/9 n=1/9

n=±1/9

Answer 2

The value of x is ± (1/9).

Explanation:

Consider the provided statement.

If 3 is added to the absolute value of the product of a number and −9,

Now convert this into mathematical form.

Let the number is x then the product of number and -9 is -9x.

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

3 + |-9x|

Now it is given that the result is equal to 4. Thus,

3 + |-9x| = 4

Solve the above equation as shown:

|-9x| = 4-3

|-9x| = 1

Now remove the mode by introducing ± sign as shown:

-9x = ± 1

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

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

Hence, the value of x is ± (1/9).