Question

.

Answer 1

\[[x-16/8]\ge[x-8/12]+[5/24]\]

Answer 2

use interval notation to express solution set & graph the solution set on a number line

Answer 3

\[\frac{x-16}{8}\ge\frac{x-8}{12}+\frac{5}{24}?\]

Answer 4

First thing you want to do is multiply through by 24 to clear those nasty fractions...

Answer 5

That leaves you with\[3(x-16)\ge2(x-8)+5\]with me so far?

Answer 6

yes
i wasnt sure how to set it up exactly right

Answer 7

so what do you think your next step would be?

Answer 8

rationalize?

Answer 9

no i mean distribute.

Answer 10

distribute...

Answer 11

thats what i meant haha

Answer 12

distribute the 3 and the 2 intothe binomials

Answer 13

\[3x-48\ge2x-16+5\]\[3x-48\ge2x-11\]

Answer 14

so what will your final inequality be?

Answer 15

\[37\ge x\]

Answer 16

close...your sign is backwards.

Answer 17

\[37\le x\]?

Answer 18

thanks for explaining that. it really helped

Answer 19

move the 2x to the left and the 48 to the right...\[3x-2x-48\ge2x-2x-11\]\[x-48+48\ge-11+48\]\[x\ge37\]

Answer 20

you know interval notation for it?

Answer 21

and how to do the number line graph?

Answer 22

\[x \ge 37\]

Answer 23

i dont know what interval notation is :/

Answer 24

interval notation is a way to list a group of numbers...for instance if, I were to ask you to pick a number between 1 and 10, I could write it as, "pick a number in the interval [1,10]"

Answer 25

or if i wanted to talk about all the numbers bigger than 20, I could say\[(20,\infty)\]

Answer 26

[ includes the number, ( does not include the number.

Answer 27

in your case, you want all numbers bigger than, or equal to, 37.

Answer 28

since that includes 37, we use the [. Infinity, both positive and negative, *always* gets the (.

Answer 29

you have a guess how it would look?