Question

Determine the type of boundary line and shading for the graph of the inequality -4x - y < -6

Answer 1

Dashed line with shading on the side that includes the origin.

Solid line with shading on the side that does not include the origin.

Dashed line with shading on the side that does not include the origin.

Solid line with shading on the side that includes the origin.

Answer 2

Dashed line with shading on the side that includes the origin.

Answer 3

Thank you! Would you mind maybe helping with a few more...?

Answer 4

Sure:)

Answer 5

Which of the following is not an equivalent form of the compound inequality

x + 6 < 9 or x + 6 (is greater than or equal to) 15

x < 3 or x (is greater than or equal to) 9

A number line with an open circle on 3, a closed circle on 9, and shading in between.

x 9 or x < 3

A number line with an open circle on 3, shading to the left, and a closed circle on 9, shading to the right.

Answer 6

x + 6 > 15
x > 15 - 6
x > 9

x + 6 < 12
x < 12 - 6
x < 6

ANSWER : c and d are not equivalent....the reason being, is that there will be no closed circles because there is no equal signs.

Answer 7

so the answer is a or b?

Answer 8

also,
Part 1: Solve the inequality -5x + 8 <= x - 4 and show all of your work. You can use <= to represent the less than or equal to symbol.
Part 2: Use complete sentences to describe the graph of the solution from Part 1. Be sure to include the type of circle and which direction the shading will be.

Answer 9

\[-5x + 8 \leq x - 4\]
get all the \(x\) terms to one side, and all the other terms to the other side

Answer 10

what did you get for x?

Answer 11

so it'd be like -5x + x <= 8 - 4?
sorry, i'm not good with this stuff D;

Answer 12

hmm, not quite


\[−5x+8≤x−4\]
the steps i would suggest would be
first to add \(5x\) to both sides of the inequality ,

and then add \(4\) to both sides of the inequality

Answer 13

so...
12 <= 5x?

Answer 14

very close,

Answer 15

12 <= -5x?

Answer 16

\[−5x+8≤x−4\\−5x+8+5x+4≤x−4+5x+4\\8+4≤x+5x\\12≤\]

Answer 17

is it -5x?

Answer 18

x+5x=(1+5)x

Answer 19

ohhhh, so 12 <= 6x?


also,
i think this is the last one, but
Which of the following ordered pairs is not a solution to the inequality y < -x + 6?
(-3, 0)

(-1, 0)

(4, 3)

(3, -2)

Answer 20

yeah,
12 <= 6x

now divide both sides by 6

Answer 21

so it's basically 6 <= x?

Answer 22

i also need help with that last question up there.

Answer 23

try that bit again

Answer 24

what do you mean?
so the answer isn't 6 <= x?

Answer 25

i honestly just need the answer to the two questions because i'm about to run out of time D:

Answer 26

\[12 ≤6x\]
dividing both sides by six
\[12/6 ≤ 6x/6\]

Answer 27

alright now what about this one
Which of the following ordered pairs is not a solution to the inequality y < -x + 6?
(-3, 0)

(-1, 0)

(4, 3)

(3, -2)

Answer 28

what do you get when you simplified
12/6<=6x/6 ?

Answer 29

6 <= x

Answer 30

well you got the right hand side right , but not the left hand side

Answer 31

12 <= 6x

Answer 32

but at this point i seriously just need the answer & i'll review the lesson later, i have about two minutes before my time is up

Answer 33

what is twelve divided by six?

Answer 34

two
sorry ^^

Answer 35

thats better!

Answer 36

thanks xD
but yeah, the last question, i really just need the answer to it ^^

Answer 37

to check a solution (x,y) for

y < -x + 6

just substitute

Answer 38

sub what, exactly?

Answer 39

i've only got a minute left

Answer 40

try one of the four options

Answer 41

is

0 < -(-3) + 6


this a true statement?

Answer 42

yes

Answer 43

is the answer c?

Answer 44

right

Answer 45

thank you for all of your help, sorry for my confusion with that one question xD