Question

In a certain town, the inches of rainfall, x, on a certain day is described by two statements:
If 3 times the rainfall is increased by 2, the rainfall is still less than 26 inches.
5 plus twice the rainfall is greater than 11 inches.


Part A: Create a compound inequality to represent the rainfall range.

Part B: Can the rainfall in this town be 4 inches? Justify your answer by solving the inequalities in Part A.
Part C: The average rainfall in another town is 5 inches, but the actual rainfall is within 4 inches of the average. Write and solve an inequality to find the r

Answer 1

@dtan5457

Answer 2

three times the rainfall is increased by 2

3*x + 2

Answer 3

It is still less than 26 inches

3*x + 2 < 26

Answer 4

Five plus twice the rainfall

5 + 2*x

Answer 5

Is greater than 11 inches

5 + 2*x > 11

Answer 6

Need to solve each of those for x, the amount of rainfall first

Answer 7

3x + 2< 26
5 + 2x > 11

Answer 8

lol you have @DanJS helping you. no need for me ;p

Answer 9

3x < 24
x < 8

2x >6
x > 3

Answer 10

so the amount of rainfall is bigger than 3 but less than 8, in other words

3<x<8

Answer 11

you see what i did?

Answer 12

wait xD I'm still reading and understanding

Answer 13

Take it one sentence at a time

Answer 14

3x <24 where is that from??

Answer 15

Do you understand how the 2 inequalities were made from the problem paragraph first?

Answer 16

3x + 2< 26
5 + 2x > 11

Answer 17

ohh yes because what it said signaled different signs etc.

Answer 18

u see how those 2 inequalities were made?

Answer 19

yes :D

Answer 20

i understand how u made these 3x + 2< 26
5 + 2x > 11

Answer 21

ok, you have to solve each of them for x, from the first one

3x + 2 < 26 (take 2 away from both sides)

3x <24 (divide by 3)

x<8

Answer 22

thats all in part a still ryt xD

Answer 23

oh Part A is just writing down the 2 inequalities, Part B is solving like now

Answer 24

the second

5 + 2x >11 take away 5 both sides

2x > 6

x>3

Answer 25

so x is bigger than 3 but less than 8

Answer 26

3 < x < 8

Answer 27

r we onto part c??

Answer 28

Part B) can the rainfall x be 4 inches?

Answer 29

we just solved and got 3<x<8

Answer 30

the rainfall is between 3 and 8 inches

Answer 31

ohhhhhh :D

Answer 32

ok i understand that

Answer 33

Part C) r = rainfall

Answer 34

The average rainfall in another town is 5 inches, but the actual rainfall is within 4 inches of the average. Write and solve an inequality to find the r

Answer 35

The actual rainfall r, is within 4 inches of the average.

average is 5 , 4 inches in either direction of that is (5-4) and (5+4)

the actual rainfall is between (5-4) < r < (5+4)

1 < r < 9

Answer 36

i wrote this

Part A -
3*x+2
3*x+2 <26

5+2*x
5+2*x > 11

3x+2<26
5+2x>11

Part B-
3x+2<26
3x <24
x<8

5+2x>11
2x>6
x>3

3<x<8
The rainfall is between 3 and 8 inches.

Part C-
R=rainfall
The actual rainfall (r) is within 4 inches of the average.
average=5, 4 inches in each direction is (5-4) & (5+4)

Actual rainfall is between (5-4) < r < (5+4)

1<r<9

Right?

Answer 37

@DanJS

Answer 38

looks good, you got it

Answer 39

Just say for part B, that the rainfall can be 4 inches because it has to be between 3 and 8 inches from the equations

Answer 40

so don't write any problem just say that???

Answer 41

no still write everything you did, just include that last bit i wrote

Answer 42

It askes if the rain can be 4, you didnt say yes or no

Answer 43

ohhh ok LD

Answer 44

:D

Answer 45

thanksss ok can u check this one

Answer 46

Part A: Solve A = 9/2 (x + 28) for x.
Part B: Determine the value of x when A = 135.

Part C: Solve -np - 40 > 10 for n. Show your work.

Answer 47

and i got-
Part A-
A=9x/2 + 9*28/2
A= 9x/2 +126

Part B-
135 = 9x/2 +126
135-126=9x/2
9=9x/2
x=2

Part C-
-np-40>10
-np >10+40
-np > 50
-n >50/p
n < -50/p
@DanJS

Answer 48

looks good, you got it

Answer 49

:D thanks do u know anything on linear functions