Question

literal equations problem and need help from YOU. ;-)

Answer 1

In a certain town, the wind speed, x, in km/h on a certain day is described by two statements:

In a certain town, the wind speed, x, in km/h on a certain day is described by two statements:



1.If 2 times the wind speed is increased by 2, the wind speed is still less than 46 km/h.
2.Twice the wind speed minus 27 is greater than 11 km/h.


Part A: Create a compound inequality to represent the wind speed range.
Part B: Can the wind speed in this town be 20 km/h? Justify your answer by solving the inequalities in Part A.
Part C: The average wind speed in another town is 23 km/h but the actual wind speed is within 4 km/h of the average. Write and solve an inequality to find the range of wind speed in this town.

Answer 2

which part you need help wid ?

Answer 3

umm..8-) well.. all of it but u dont have to help me with all of it

Answer 4

lets start wid part A
Part A: Create a compound inequality to represent the wind speed range.

Answer 5

you just need to write given two statements in math form

Answer 6

1.If 2 times the wind speed is increased by 2, the wind speed is still less than 46 km/h.

2.Twice the wind speed minus 27 is greater than 11 km/h.

Answer 7

look at first statement

Answer 8

replace "wind speed" wid "x" in first statement

Answer 9

1.If 2 times the wind speed is increased by 2, the wind speed is still less than 46 km/h.
---------------

Answer 10

2 times x is increased by 2

2x + 2

Answer 11

its still less than 46

Answer 12

so,

\(2x+2 < 46\)

Answer 13

thats ur first inequality ok

Answer 14

ur better than MY teacher! its so simple! 0_0

Answer 15

ty :) next try to put the inequality for second statement also, can u ? :)

Answer 16

ok give me sec i dont write as fast as you

Answer 17

take ur time

Answer 18

2x-27>11

Answer 19

Excellent !

Answer 20

yay

Answer 21

so the inequalities for given statements are :-

1.If 2 times the wind speed is increased by 2, the wind speed is still less than 46 km/h.
\(\large 2x + 2 < 46\)


2.Twice the wind speed minus 27 is greater than 11 km/h.
\(\large 2x-27 > 11\)

Answer 22

next you need to solve for x in both the inequalities

Answer 23

\(\large 2x + 2 < 46\)

solve \(x\)

Answer 24

ok x=22

Answer 25

careful, we're solving INequality !

Answer 26

\(\large 2x+2 < 46\)

\(\large 2x < 44\)

\(\large x < 22\)

Answer 27

oh right forgot

Answer 28

we should say \(x < 22\)
we CANNOT say, \(x=22\) ok

Answer 29

similarly solve x in second inequality also

Answer 30

ok

Answer 31

wat do u get ?

Answer 32

x>19

Answer 33

Correct !

so when we solved the inequalities, we got :-

\(x < 22\) and \(x > 19\)

Answer 34

so, x must be between 19 and 22;
thats the range of x values

Answer 35

we can write it like below :-

\(\large 19 < x < 22\)

Answer 36

it just says : x is some value between 19 and 22

Answer 37

we're done wid part A.

Answer 38

ok thanx

Answer 39

have a look at Part B
and tell me wat do u think, after thinking a bit :)

Answer 40

@ganeshie8 How would you solve PART C