MATH SOLVE

3 months ago

Q:
# Two thirds of the employees at an office stated that they preferred soft cookies over crispy cookies. More than 36 employees stated their preference. Ren was asked to write, solve, and graph an inequality to find the number of employees working at the office. His work is shown below.

Accepted Solution

A:

Let

x--------------------> number of employees working at the office

we know that

(2/3) x > 36--------------- > x>(36*3/2)

x>54

the solution of this inequality is (54,∞ )

using a graph tool

see the attached figure

the solution will be all those values of X, belonging to the interval (54, ∞) that when multiplied by (2/3) its result is a whole number

see the attached excel table

the solution is the infinite serie

57+60+63+66+69.....

the minimum value of the solution is X=57 employees

the maximum value is infinite

x--------------------> number of employees working at the office

we know that

(2/3) x > 36--------------- > x>(36*3/2)

x>54

the solution of this inequality is (54,∞ )

using a graph tool

see the attached figure

the solution will be all those values of X, belonging to the interval (54, ∞) that when multiplied by (2/3) its result is a whole number

see the attached excel table

the solution is the infinite serie

57+60+63+66+69.....

the minimum value of the solution is X=57 employees

the maximum value is infinite