Which solution set best represents X minus 6 is greater than or equal to twenty-five?

a solution set contains thirty-one, thirty-two, thirty-three, and so on

a solution set contains thirty-three, thirty-two, thirty-one, and so on

a solution set contains thirty-two, thirty-three, thirty-four, and so on

a solution set contains thirty-two, thirty-one, thirty, and twenty-nine

Question

Which solution set best represents X minus 6 is greater than or equal to twenty-five?

a solution set contains thirty-one, thirty-two, thirty-three, and so on

a solution set contains thirty-three, thirty-two, thirty-one, and so on

a solution set contains thirty-two, thirty-three, thirty-four, and so on

a solution set contains thirty-two, thirty-one, thirty, and twenty-nine

anonymous · Answer

the result must be greater than or equal to 25. every input is decreased -6,
so if the independent variable x is 25, the result is less

debbieg · Answer

you need:

$\Large x-6 \ge 25$

You solve an inequality just like you do an equality (isolate the x), with ONE additional rule: if you MULTIPLY or DIVIDE by a negative number, you switch the direction of the inequality.

So apply that here and see what your solution is.

debbieg · Answer

However, I'm puzzled by your solution sets.... is x limited to being an integer??

anonymous · Answer

I coped the question right from the work so i guess x is the limited to being an integer.

debbieg · Answer

So it actually says: "a solution set contains thirty-one, thirty-two, thirty-three, and so on"?  Or does it show you a solution set (for the first one, for example):

$$\Large \left\{ 31, 32, 33... \right\}$$  ?

anonymous · Answer

yeah it shows that

debbieg · Answer

Either way, there is clearly a correct (or at least "best") answer. :) Just not what I would have expected for the solution sets, had it not been multiple choice, lol.

debbieg · Answer

So what do you get for the solution to the inequality?

debbieg · Answer

$\Large x-6 \ge 25$

anonymous · Answer

The first one?

debbieg · Answer

Right. Just add 6 to both sides, you get

$\Large x \ge 31$

debbieg · Answer

Which generally would mean ALL REAL NUMBERS 31 and greater, not just integers.... but since that isn't one of your choices, I would say the first solution set is the "most correct". Maybe somewhere for the problem set you were told that X represents an integer?

anonymous · Answer

May I answer too ?:)
And join :)

anonymous · Answer

sure if you wanna

anonymous · Answer

Math is so Confusing -_-

anonymous · Answer

I cant think this :)

debbieg · Answer

I thought it was already answered? lol

anonymous · Answer

So the answer is the second one.......Right?

anonymous · Answer

Wait ....

anonymous · Answer

So im wrong?

anonymous · Answer

wait its the first one

debbieg · Answer

Yes, the first one. I said above that was right. :)

Do you understand WHY?