Question

"Solve each inequality:

n - 8 > 5
A) n > 13
B) n > 3
C) n > -3
D) n > -13
p + 5 < 10
A) p < -15
B) p < 5
C) p < 15
D) p < -5
The science class is taking a trip to the Science Center. There are 20 students and an unknown number of adult chaperones going. The bus holds at most 35 people. What is the greatest number of adults that can chaperone?
A) 15 adults
B) 25 adults
C) 30 adults
D) 35 adults"

Answer 1

To solve the inequalities, add or subtract the same value to both sides of the inequality sign to isolate the variable. The greatest number of adults that can chaperone is 15.

Step-by-step explanation:

Solve each inequality:

n - 8 > 5

To solve the inequality, we want to isolate n on one side of the inequality sign. We can do this by adding 8 to both sides of the inequality:

n - 8 + 8 > 5 + 8

n > 13

Therefore, n > 13 is the correct solution to the inequality.

p + 5 < 10

To solve the inequality, we want to isolate p on one side of the inequality sign. We can do this by subtracting 5 from both sides of the inequality:

p + 5 - 5 < 10 - 5

p < 5

Therefore, p < 5 is the correct solution to the inequality.

The bus holds at most 35 people. To find the greatest number of adults that can chaperone, we subtract the number of students from 35:

35 - 20 = 15

Therefore, the greatest number of adults that can chaperone is 15 adults.