1. m - 7 < 6
a. m < -13
b. m < 1
c. m < -1
d. m < 13 ****
2. n -8 > 5
a. n > 13 ****
b. n > 3
c. n > -3
d. n > -13
3. p + 5 < 10
a. p < -15
b. p < 5
c. p < 15
d. p < -5 ****
4. 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 amount of adults who can chaperone?
a. 5
b. 10
c. 15 ****
d. 75
I’m pretty sure three is wrong, but I don’t know
Actually, I change the third answer to B*
D.
A.
B.
C.
@oobleck some of us only go on here to check our work like me. Also for all you know we could get in trouble if our grades fail
To solve these inequality problems and determine the correct answers, we'll use basic algebraic techniques. Let's go through each question step by step:
1. m - 7 < 6:
To isolate the variable 'm', we need to get rid of the '-7' on the left side of the inequality. We can do this by adding 7 to both sides of the inequality:
m - 7 + 7 < 6 + 7
This simplifies to:
m < 13
Therefore, the correct answer is (d) m < 13.
2. n - 8 > 5:
To isolate the variable 'n', we need to get rid of the '-8' on the left side of the inequality. We can do this by adding 8 to both sides of the inequality:
n - 8 + 8 > 5 + 8
This simplifies to:
n > 13
Therefore, the correct answer is (a) n > 13.
3. p + 5 < 10:
To isolate the variable 'p', we need to get rid of the '+5' on the left side of the inequality. We can do this by subtracting 5 from both sides of the inequality:
p + 5 - 5 < 10 - 5
This simplifies to:
p < 5
Therefore, the correct answer is (b) p < 5.
4. The bus holds at most 35 people. There are 20 students, so to find the maximum number of adult chaperones, we subtract the number of students from the maximum capacity of the bus:
35 - 20 = 15
Therefore, the correct answer is (c) 15.