Question

Identify the solution set of the inequality using the given replacement set.

x < –2; {–5, –2.6, –2, –0.8, 1, 1.5}

A. {–5, –2.6}

B. {–5, –2.6, –2}

C. { –2, –0.8, 1, 1.5}

D. {–0.8, 1, 1.5}

Answer 1

Were you able to get anywhere?

Answer 2

not really

Answer 3

what does x < -2 mean?

Answer 4

if x is any number, and I say that x < -2, what am I saying about x?

Answer 5

That x is less than -2

Answer 6

good, so if you were to replace with a number like 0

you go from

x < -2

to

0 < -2

is that inequality true?

Answer 7

no

Answer 8

why not

Answer 9

because 0 is greater than-2

Answer 10

very good

Answer 11

so what you are doing is checking each number to see if it's part of the solution set

and you do this by plugging that number in and seeing if you get a true statement

Answer 12

you just did x = 0 and x = 0 is NOT part of the solution set

Answer 13

right

Answer 14

So the answer would be A right?

Answer 15

you nailed it

Answer 16

Yay! Thanks for your help!! :)

Answer 17

you're welcome