Question

Choose the correct description of the graph of the inequality x − 12 < or = to 5x.

Open circle on −3, shading to the left.

Closed circle on −3, shading to the left.

Open circle on −3, shading to the right.

Closed circle on −3, shading to the right.

Answer 1

@ivettef365
@tcarroll010
@mathslover

This is my last problem and i have to finish it fast before i go to bascket ball practice for the rest of the day

Answer 2

x - 12 <= 5x
x - 5x <= 12
-4x <= 12
x >= - 3
open circle on -3, shaded to the right

Answer 3

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

x − 1 < −12 or x + 12 > 10

x < −11 or x > −2

A number line with an open circle on −11, shading to the left, and an open circle on −2, shading to the right.

A number line with an open circle on −11, an open circle on −2, and shading in between.

x > −2 or x < −11

Answer 4

My brother asked me to get help with this please he asks for shown work and answer for him to understand ( im his sister

Answer 5

x - 1 < - 12 (you want to get x on one side and everything else on the other side)
x - 1 < - 12 (add 1 to both sides)
x - 1 + 1 < - 12 + 1 (combine like terms)
x < -11 (x is less then - 11)

x + 12 > 10 (subtract 12 from both sides)
x + 12 - 12 > 10 - 12 (combine like terms)
x > - 2 (x is greater then -2)

Both of these answers will have an open circle because there is no equal sign involved. Anything that is greater is shaded to the right and anything that is less is shaded to the left.

Are you sure you wrote the answer choices down correctly ?
The reason I am asking is because they seem to be all correct.

Answer 6

@goformit100 ...can you take a look at this......am I doing something wrong ?

Answer 7

@satellite73 .....can you take a peek at this

Answer 8

I think the answer is going to be the 2nd one.

Answer 9

The 1st, 3rd, and 4th are definitely correct.....however, the second one, the only reason it would not be correct, is that open circle on - 11 and shading to the left would go past -2 and open circle on -2 shading to the right, would go past - 11.

Answer 10

@whpalmer4 ...can you take a look at this and see if I did it correctly :)

Answer 11

I'll rewrite the answer choices:
x < −11 or x > −2
this is correct

A number line with an open circle on −11, shading to the left, and an open circle on −2, shading to the right.
let's check this

A number line with an open circle on −11, an open circle on −2, and shading in between.
let's check this

x > −2 or x < −11
this is correct

Okay, we'll check the shading in the two remaining answers by doing a test point. Let's plug in x=-5 and see what happens. If x = -5 satisfies the inequality, then the region containing x=-5 better be shaded.

-5 > - 2 that's false
x < -11 that's false

so -5 does not satisfy the inequality and an answer which shades the part of the number line containing -5 is incorrect.

that means "a number line with an open circle on -11, an open circle on -2, and shading in between" is the answer choice which is not an equivalent

Assuming my lack of coffee thus far this morning hasn't tripped me up :-)

Answer 12

thats the one I thought was correct.....my coffee must have been bad :/

Answer 13

I just thought if x was greater then -2 and less then -11, the shading would be in between.

Answer 14

well, x = -100, that's clearly to the left of both circles, right? yet it satisfies the inequality because -100 < -11.

x = -5, however, does not satisfy either -5 > -2 or -5 < -11, so the part of the line that contains x=-5 must not be shaded.

Answer 15

That means we discard the answer where the gap between the circles is shaded as not being equivalent (choose it as the right answer for "which of these is not correct", in other words)

Answer 16

that makes sense

Answer 17

easy to get yourself turned around until confused in problems like this!

Answer 18

I will be more careful next time when posting my answers.....thanks again :)

Answer 19

I usually avoid answering them on OS to reduce the risk of making a fool of myself :-)

Answer 20

you did the right thing, you weren't positive your answer was right, and you checked it. recognizing that the answer may not be right is a valuable skill!

Answer 21

I learned the hard way by giving the wrong answer before to someone. When in doubt, get a second opinion :)

Answer 22

And you, I can honestly say, are a lifesaver :)

Answer 23

I merely seek to allow others to benefit from my accumulated mistakes :-)

Answer 24

lol......I haven't seen any mistakes yet.

Answer 25

thanks again....I have to go now....have a nice day....your son is lucky to have you