Question

when x is an integer, what is the solution set of 5≤x <8?
a: {5,6,7,8}
b:{5,6,7}
c: {6,7,8}
d: {6,7}

Answer 1

Well let me help you out with a and you can figure out the rest

Answer 2

ok ;) @swissgirl

Answer 3

Firstly lets look at the notation \( 5 \leq x \leq 8\) This translates to X is less than 8 and greater than or equal to 5

Answer 4

So what can x equal?

Answer 5

What values can x take on? X can equal anything less than 8 or greater than 5 including 5
So x={5,6,7}

Answer 6

Do you follow so far?

Answer 7

yeah, i see what your saying :) @swissgirl

Answer 8

Now a: The set is {5,6,7,8}
The question is asking us what values from this set can x be

Answer 9

So what wld ur guess be?

Answer 10

so x = {5,6,7,8} ???

Answer 11

@swissgirl

Answer 12

Can x=8? What did we say in the beggining?

Answer 13

Whoops ;/ lol
anything less than 8 and greater than 5 @swissgirl

Answer 14

So what elements in this set equals x?

Answer 15

We scratched 8 But can x equal 5,6 and 7?

Answer 16

hold on.....yes ;)
I found out the answer..
i think it is {5,6,7} @swissgirl

Answer 17

Yessssssss

Answer 18

Now lets go on to b
The set contains {5,6,7} so what is eh solution set for x?

Answer 19

the integers that satisfy these conditions are 5,6,7 @swissgirl

Answer 20

Yesssss but we would right it as a set x={5,6,7}

Answer 21

How abt the set {6,7,8}?

Answer 22

Its ok :) I got it..... Thank you sooooooo much @swissgirl

Answer 23

Ok GREAT :)

Answer 24

Thank you sooo much @swissgirl

Answer 25

Your welcome