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.
Question
Answer:
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
solved
general
11 months ago
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