The quotient of a number and -15 is no greater than 450. What are the possible values for the number.

Question

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Answer 1

'Quotient' means you will divide the numbers.

Also, to be 'no greater' means to be 'less than or equal to'.

 

 

Letting x = 'a number', the statement would translate as follows:

x/(-15) <= 450. 

 

Multiply both sides by (-15), noting that when multiplying by a negative number you must flip the inequality symbol, to get:

 

x >= -6750

 

The possible values for x are any numbers greater than or equal to -6750.

Answer 2

Let x = the number

 

 

When we have a quotient, we are dealing with division.

 

(x / -15) ≤ 450

 

 

We now have an inequality.  Solve the inequality for x.

 

Multiply both sides of the inequality by -15.

 

x ≤ -6750

 

The possible values for the number is all numbers less than or equal to -6750.