Question

Write the inequality for the statement: all employees work less than 40 hours.

A) x > 40
B) x = 40
C) x < 40
D) x ≥ 40

Answer 1

The inequality for the statement 'all employees work less than 40 hours' is x < 40. Option A) x > 40, Option B) x = 40, and Option D) x ≥ 40 are incorrect.

Step-by-step explanation:

The inequality for the statement 'all employees work less than 40 hours' is option C) x < 40.

We use the '<' symbol because it represents the concept of 'less than'. In this case, it means that the number of hours worked (represented by x) should be less than 40. For example, x = 35 would satisfy this inequality because 35 is less than 40.

Option A) x > 40 would be incorrect because it represents the idea that employees work more than 40 hours. Option B) x = 40 would be incorrect because it represents the idea that employees work exactly 40 hours. Option D) x ≥ 40 would be incorrect because it represents the idea that employees work 40 hours or more.