Question

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. (3 points)

Part B: Can the wind speed in this town be 20 km/h? Justify your answer by solving the inequalities in Part A. (3 points)

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. (4 points)

Answer 1

where are you stuck ?

Answer 2

Part A... I don't know how to create an inequality for just this problem, and I am usually good at making them...

Answer 3

say the wind speed= `x`

Answer 4

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


`2x + 2 < 46`

Answer 5

thats the inequality for first statement,
similarly see if you can write out the inequality for second statement

Answer 6

2x - 27 > 11

Answer 7

Excellent !

Answer 8

solve `x` in each inequality

Answer 9

Oh, see, i have had a really bad headache all day, and I couldnt figure this easy thing out, i am a mess today, lol sorry, but it's mostly part b that I need help with

Answer 10

part b depends on part a

Answer 11

whats the compound inequality from partA ?

Answer 12

2x + 2 < 46

and

2x - 27 > 11

Answer 13

you need to solve `x` and put it in below form :
\(\large a < \mathbb{x} < b\)

Answer 14

2x + 2 < 46
x < 22

2x - 27 > 11
x > 19

Answer 15

22 < x < 19

??

Answer 16

wind speed = x

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

2x + 2 < 46
x < 22

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

2x - 27 > 11
x > 19


This is my answer so far

Answer 17

@ganeshie8 Haha, did you get disconnected?

Answer 18

So whats the compound inequality ?

Answer 19

well you said to solve for x for both equations and i got

22 for the first one 19 for the second

Answer 20

and you said put it like this
a>x>b

so im thinking
22 > x > 19

Answer 21

thats right so far ! so x must be between 19 and 22 :

`19 < x < 22`

Answer 22

lets look at part b

Answer 23

ahh okay, but how do i find out what x is?

Answer 24

x has to be between 19 and 22

Answer 25

thats the range for x; there is no specific THE value for x.

Answer 26

see if you can answer part b

Answer 27

Oh wait I'm not thinking. Yes this wind speed can go 20km/h

Answer 28

yes, try part c

Answer 29

Ok, now part C ?