Yes, the students would get a free period on Monday because they read a combined total of 20.625 hours over the weekend.
In Mathematics and Euclidean Geometry, an inequality is a relation that compares two or more numbers and variables in an algebraic equation based on any of the following inequality symbols:
- Less than or equal to (≤).
- Greater than (>).
- Greater than or equal to (≥).
- Less than (<).
Note: Let the variable T represent the total numbers of hours.
Based on the information provided above, we can logically deduce that an inequality the models the situation can be written as follows;
T ≥ 20
Next, we would determine the combined total numbers of hours as follows;
T = 2 + 1 1/6 + 4.125 + 0.75 + 3 1/2 + 1.75 + 5/8 + 2 1/2 + 1 5/6 + 2 3/8
T = 2 + 7/6 + 4.125 + 0.75 + 3.5 + 1.75 + 0.625 + 2.5 + 11/6 + 2.375
T = 17.625 + 7/6 + 11/6
T = 17.625 + 18/6
T = 17.625 + 3
T = 20.625
20.625 ≥ 20 (True)
In this context, the students would get a free period on Monday because they read a combined total of 20.625 hours over the weekend, which is greater tha 20 hours.
Complete Question:
On Friday, Ms. Patel told her reading group that if they read a combined total of 20 hours or more over the weekend, she would let them have a free period on Monday. The numbers of hours the students spent reading are in the table below. Do the students get a free period on Monday? Explain.