Question

Which is the solution set of -4 <= 3- y over the whole numbers? {0, 1, 2, 3, 4, 5, 6}
{6, 7, 8, 9, 10, …}
{7, 8, 9, 10, …}
{0, 1, 2, 3, 4, 5, 6, 7}

Answer 1

First I'd add y to both sides

-4 <= 3- y

-4+y <= 3- y+y

y + (-4) <= 3

y - 4 <= 3

What is the next step to isolate y on the left side?

Answer 2

add 4 to both sides right?

Answer 3

correct

Answer 4

resulting in what?

Answer 5

y<7 is that right?

Answer 6

y <= 7 actually, but you have the right idea

Answer 7

which set of whole numbers represents y <= 7

Answer 8

okay and I'm not sure /: how can i tell?

Answer 9

what numbers make y <= 7 true?

Answer 10

does y = 10 make y <= 7 true?

Answer 11

no it doesnt :)

Answer 12

how about y = 9?

Answer 13

nope :)

Answer 14

so basically the set of numbers less than 7 (7 is included) makes y <= 7 true

numbers like 0, 2, or 6 are part of this set

Answer 15

each answer choice is simply listing out each whole number solution

Answer 16

so the last set is the answer ?

Answer 17

yep {0, 1, 2, 3, 4, 5, 6, 7}

Answer 18

Oh thank you ! :)

Answer 19

you can also test those values in -4 <= 3- y and it should be true as well