Question

algebra help, will give best answer if you answer correctly



Which expresses the inequality x ≥ -4 in interval notation?

A. (-∞ , -4]
B. (-4, ∞ )
C. -4, ∞ )
D. (-∞ , -4)

Answer 1

Is there supposed to be a bracket on C.? making it
[-4, ∞)

Answer 2

yes

Answer 3

C

Answer 4

Ok, then the correct answer would be C.

Answer 5

@segundop thank you for pointing that out. and c looks like the correct answer

Answer 6

thanks I still need more help

1. Draw on a line graph for the solution set of the inequality x - 4 ≤ 3



2. Which represents the compound inequality in interval notation?
x ≥ -3 and x < 1

A. x e (-∞, -3]
B. x e (-3, 1)
C. x e [-3, 1)
D. x e (1, ∞)





3. Draw the solution set of the compound inequality on a line graph
x - 2 ≤ 0 or x - 1 ≥ 3

Answer 7

this is because you want your x value to be greater and or equal to -4, which means that you must include the [ for the -4 and it goes to infinity since there are an infinite amount of numbers that are greater than -4

Answer 8

thanks segundop, I've rated you as best response. You've been very helpful.

Answer 9

No prob, ill try helping you out with that second question you posted.

Answer 10

okay :)

Answer 11

For this one it is telling you to graph a line graph, first you want to get your x alone on the right side, to do this add both sides by 4, getting you this:\[x \le 7\]

Answer 12

so it would be 7 going to the left but would the dot be filled in or not filled in?

Answer 13

yes, the dot would be filled, since \[\le \] means less than or equal to, whenever there is a line underneath the greater sign or less than sign it means that the value can also be equals

Answer 14

If there is no line underneath the greater than (>) or less than (<) it means that you exclude the value.

Answer 15

oh okay I get it now

Answer 16

For example:\[x \ge 7\] In this case you would use the filled in dot to include 7 in the linegraph.
\[x >7\]
For this case you would not include the value since you are only asked to inclue anything greater than 7 without including 7

Answer 17

oh okay, what about number 2?

Answer 18

so with a line it would be filled in, without a dot it wouldn't be filled in

Answer 19

yeah

Answer 20

okay I understand that now. do you understand #2 and #3?

Answer 21

yeah, for #2 you have two interval notations, \[x \ge 3 \] and\[x<1\]

Answer 22

Oops there should be a -3 there: \[x \ge -3\]this means that your x can be great than or equal to -3

Answer 23

\[x<1\] means that your x value has to be less than 1 (without including 1 because there is no line)

Answer 24

so would it be B?
I know it either has to be B or C

Answer 25

it would be C, this is because \[x \ge -3 \] which means that the -3 is included in the linegraph

Answer 26

oh okay that makes sense

Answer 27

attempt number #3 and post it, ill help me as much as i can