1.solve the inqulitey m-7<6

m<-13
m<1
m<-1
m<13

2.n-8>5
n>-13
n>1
n>13
n>-1

3.p+5<10
p<-15
p<5
p<15
p<-5

4. the science class is taking a trip to the science center. There are 20 students and an unknowed number of adults. The bus holds at most 35 what is the greatest number of adults that can join
5
10
15<--
75

help please

1. To solve the inequality m-7 < 6, we need to isolate the variable m. Here are the steps:

m - 7 < 6
Add 7 to both sides to remove the negative 7:
m < 6 + 7
Simplify:
m < 13

So the solution to the inequality is m < 13.

Similarly, for the other options:
- m <-13: This would mean that m is less than or equal to -13.
- m < 1: This would mean that m is less than 1.
- m <-1: This would mean that m is less than or equal to -1.
- m < 13: This would mean that m is less than 13.

2. To solve the inequality n - 8 > 5, we need to isolate the variable n. Here are the steps:

n - 8 > 5
Add 8 to both sides to remove the negative 8:
n > 5 + 8
Simplify:
n > 13

So the solution to the inequality is n > 13.

Similarly, for the other options:
- n > -13: This would mean that n is greater than -13.
- n > 1: This would mean that n is greater than 1.
- n > 13: This would mean that n is greater than 13.
- n > -1: This would mean that n is greater than -1.

3. To solve the inequality p + 5 < 10, we need to isolate the variable p. Here are the steps:

p + 5 < 10
Subtract 5 from both sides to remove the positive 5:
p < 10 - 5
Simplify:
p < 5

So the solution to the inequality is p < 5.

Similarly, for the other options:
- p < -15: This would mean that p is less than -15.
- p < 5: This would mean that p is less than 5.
- p < 15: This would mean that p is less than 15.
- p < -5: This would mean that p is less than -5.

4. The science class is taking a trip to the science center and there are 20 students. We need to find the greatest number of adults that can join the trip while considering that the bus can hold at most 35 people.

To find the answer, subtract the number of students from the maximum capacity of the bus:

35 - 20 = 15

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