in a certain town the inches of rainfall,x, is described by 2 statements
if 3 times the rainfall is increased by 2, the rainfall is still less than 26in.
2: 5 plus twice the rainfall is greater than 11 inches.
Part A: create a compound inequality to represent rainfall range.
Part B: can the rainfall in this town be 4in? justify 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 range of rainfall height in this town.

Question

in a certain town the inches of rainfall,x, is described by 2 statements
if 3 times the rainfall is increased by 2, the rainfall is still less than 26in.
2: 5 plus twice the rainfall is greater than 11 inches.
Part A: create a compound inequality to represent rainfall range.
Part B: can the rainfall in this town be 4in? justify 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 range of rainfall height in this town.

unklerhaukus · Answer

can you make form a inequality from the first statement?

1: if  3 times the rainfall is increased by 2, the rainfall is still less than 26in.

anonymous · Answer

I don't really know....

unklerhaukus · Answer

use 'x' to denote the rainfall, 
  the word increased is like a '+'
and '<' is a symbol for  less than

anonymous · Answer

ok so that means I can do 3x+2<26. is this right?

unklerhaukus · Answer

yes! good stuff, 

now the second statement 

2:   5 plus twice the rainfall is greater than 11 inches.

anonymous · Answer

5+2x>11?

unklerhaukus · Answer

good work, 

so you have formed your in-equations, 
can you solve each one for x?

the first equation you got was 

3x+2<26

unklerhaukus · Answer

solve it just like you would the equation
3x+2=6

anonymous · Answer

Is the first one x=8?

unklerhaukus · Answer

good, but keep the inequality sign so   x<8


now for the second inequality
5+2x>11

anonymous · Answer

ok, so x>3 for the second one

unklerhaukus · Answer

right again !

so you have the inequalities 
x<8
  &
x>3

to finish part A you just have to  combine them into an compound inequality

anonymous · Answer

ok. Done with A! now there is Part B and C. Can u still help me?

unklerhaukus · Answer

part B is asking if the rainfall can be 4 inches

is 4 in the range for x  (that was your answer to part A)

anonymous · Answer

yes, because it is in between 8 and 3

unklerhaukus · Answer

yap

unklerhaukus · Answer

for part C

you have form another inequation, 
you might want to choose 'y' to represent actual rainfall in this other town

anonymous · Answer

ok, but I am still confused on how to do this problem...

unklerhaukus · Answer

Part C: 'the average rainfall in another town is 5 inches but the actual rainfall is within 4 inches of the average. '

if b is positive
a is 'within' b from c    is like      a-b≤c≤a+b

anonymous · Answer

is that what I would write

unklerhaukus · Answer

dont use 'a' 'b' or 'c'

anonymous · Answer

a= ? b=? c=?

unklerhaukus · Answer

use the numbers in the statement and 'y' ,

anonymous · Answer

how?

unklerhaukus · Answer

break the statement up into two parts

'the average rainfall in another town is 5 inches' 

'the actual rainfall is within 4 inches of the average. '

anonymous · Answer

5=a, and 4=b?

anonymous · Answer

would that be right?

unklerhaukus · Answer

yeah, now solve for y

anonymous · Answer

can you give me the equation plz? to solve for y.

anonymous · Answer

I don't understand

anonymous · Answer

I need help with part c plz