Question

HELP! MEDAL!

Find the numbers such that four less than half the number is at least five and at most ten.

Graph:
1 | 74-95 mi/hr
2 | 96-110 mi/hr
3 | 111 - 130 mi/hr
4 | 131 - 155 mi/hr
5 | 156+ mi/hr

@freckles

Answer 1

let us call the numbers x

Answer 2

we have 4 less than half x IS AT LEAST five and AT MOST 10

these parts I put in caps are the inequalities

Answer 3

example:
u is AT LEAST 2
means
u can be 2 or more
so the inequality for "u is at least 2" is u>=2

example:
u at AT MOST 2
means
u can be 2 or less
so the inequality for "u is at most 2" is u<=2

Answer 4

examples for other parts of the sentences:

1) half of 6 is represented as 6/2

2) half of n is represented as x/2

3) "n less than m" means m-n

Answer 5

so you have two inequalities to set up:


4 less than half x is at least 5



and

4 less than half x is at most 10

Answer 6

do you think you translate both expressions there

Answer 7

3 < x/2 > 5

Answer 8

that inequalitiy doesn't seem right since 3< ...> 5
is not correct
this is like saying 3 is less than 5 and 3 is greater than 5

Answer 9

I dont know then

Answer 10

4 less than half x is at least 5
translates to?

Answer 11

half x is the same thing as saying x/2
4 less than half x is the same thing as saying x/2-4

Answer 12

is at least 5 means >=5

Answer 13

you have x/2-4>=5
and the other inequality is x/2-4<=10

Answer 14

you could write this as :
\[10 \ge \frac{x}{2}-4 \ge 5\]

Answer 15

I see how would we figure our the question

Answer 16

by solving the inequality

Answer 17

i see

Answer 18

\[28 \ge x \ge 18\]

Answer 19

sounds great

Answer 20

Do i need to graph?

Answer 21

i'm not really sure
i don't see those instructions

Answer 22

i just see find the numbers

Answer 23

we found the numbers

Answer 24

all the numbers between 18 and 28 including both 18 and 28.

Answer 25

ok thank you again