Question

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.

Step
Ren’s work

Step 1

Two-thirds x less-than 36

Step 2

x less-than 54

Step 3
A number line going from 51 to 57. An open circle is at 54. Everything to the left of the circle is shaded.


Where, if any, did Ren first make a mistake in his work?
Step 1
Step 2
Step 3
No mistake found

Answer 1

Answer: Its a correct me if i'm wrong

Explanation:

Answer 2

Answer: Ren first make a mistake in his work at step 1

Explanation:

Step 1 : 2x/3 < 36 Step 2 : x < 54Step 3 :

A number line going from 51 to 57. An open circle is at 54. Everything to the left of the circle is shadedMistake is in 1st step it self which is cascaded in further stepsCorrect would be 2x/3 > 36 as more than 36 employees stated their preference hence 2x/3 must be greater than 36