Question

Could somebody help me with this SAT question?

Answer 1

@DanJS

Answer 2

Can we agree that this is a good starting point?
\(\large\rm 2<x<10\)
Understand that much of it? :)

Answer 3

man this question's hard

Answer 4

but here, i tried
he problem says x represents the weight of a pumpkin he will NOT use, but he will use a pumpkin that weighs 2-10 lbs (including pumpkins that weigh 2 or 10 lbs). For this reason you can not substitute the numbers 2 and 10 in for x. D would still be the correct as written because if you put the number 1 in for x you get -5 and the absolute value of -5 is greater than 4. When you put in 11 for x you get 5 which is also greater than 4.

Answer 5

It's not too bad :3 it's just a weird math trick.

Answer 6

@freckles
@Hero
@jim_thompson5910
@pooja195

Answer 7

I am soooo confused

Answer 8

@SolomonZelman

Answer 9

@Mehek14

Answer 10

dude it's C cuz the problem says x represents the weight of a pumpkin he will NOT use, but he will use a pumpkin that weighs 2-10 lbs (including pumpkins that weigh 2 or 10 lbs). For this reason you can not substitute the numbers 2 and 10 in for x. D would still be the correct as written because if you put the number 1 in for x you get -5 and the absolute value of -5 is greater than 4. When you put in 11 for x you get 5 which is also greater than 4.

Answer 11

an absolute value inequality for a distance will result in 2 answers, this will be an OR statement,

Uses Pumkins 2 to 10 lbs the values are an AND compound inequality for X
doesnt use all others, less than 2 or greater than 10, an OR of two inequalities

Answer 12

looking for the function tha twill result in x<2 OR x>10 ,

Answer 13

yes that part i get

Answer 14

but how do i make that into one of those weird choices

Answer 15

Oh x represents the weights he `will not use`.
Oh I've been bamboozled 0_o
interesting.

Answer 16

or covers all those intervals at least i think that is how it is worded

Answer 17

the absolute value quantity is a distance value, which is positive, look at the graph of absolute value x

so it depends on if you are saying greater or less than on how you would want to solve it

Answer 18

\(\large\rm |x-2|>10\)
This can be rewritten as:
\(\large\rm \pm(x-2)>10\)

This will give you two equations.
For the positive, \(\large\rm x-2>10\) gives us \(\large\rm x>12\).
For the negative, \(\large\rm x-2<-10\), remember that multiplying a negative across an inequality flips the inequality sign. And that leads to \(\large\rm x<-8\).

These numbers don't make sense, so not option A, ya?

Answer 19

This is one approach at least.
Working backwards from the solutions,
trying to see which one gives you x<2 and x>10

Answer 20

Yah this problem is harder than I thought it was going to be :)
I hate the SAT lol. ACT is much nicer.

Answer 21

Answer is D

Answer 22

I dont understand why is that?

Answer 23

yeah absolute value is a distance, to be greater than something, the direction doesnt matter if you move + or - direction

like starting at zzero, and saying | x | > 5, the greater than results in an OR solution

Answer 24

if it were |x| < 5 , instead, that limits it to less than 5 in either direction, so the solution there would be -5 <x <5, a compound AND inequality

Answer 25

you want the one that will give you the less than 2 and bigger than 10 values, although 0 or negative values for a weight is not real, but it just wants the answer that will cover it i guess

Answer 26

@freckles

@ganeshie8

Answer 27

Pumpkin is to weigh no less than 2 lb and no more than 10 lb? Graph that on a number line. Can you finish the following graph by labeling it?