The total number of students who could attend a field trip is represented by the variable t. The number of students in Group A is less than the number in Group B. Group A has 6 students more than 1 4 the total number of students, while Group B has 3 less than the total number of students. Which inequality represents this situation?

Let's define:

A = # of students in group A

B = # of students in group B

C = # of students in group C.

"The total number of students who could attend a field trip is represented by the variable t."

This can be written as:

A + B + C = t.

"The number of students in Group A is less than the number in Group B."

Here we have a strictly "less than", then this is written as:

A < B.

"Group A has 6 students more than 1/4 the total number of students"

A = t/4 + 6

"Group B has 3 less than the total number of students"

B = t - 3.

Then we have the equations:

A + B + C = t.

A = t/4 + 6

B = t - 3.

A < B.

We could replace the second and third equatio in the fourth one, to get:

t/4 + 6 < t - 3.

t/4 + 9 < t

9 < t - t/4

9 < t*(4/4 - 1/4)

9 < t*(3/4)

(4/3)*9 < t

12 < t.

Then we found an inequality that defines the minimum possible value of t,

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)