Question

Victoria is 4 years older than her neighbor. The sum of their ages is no more than 14 years.

Write an inequality that can be used to represent this situation in the first box, where x represents Victoria's neighbor's age.

Question 9 options:

x + x - 4 < 14


x + x + 4 > 14


x + x + 4 < 14


x + x + 4 < 14

Answer 1

I think the answer is C. x + x + 4 < 14

Answer 2

Good

Answer 3

i agree

Answer 4

Are you sure?

Answer 5

Why is C and D the exact same? Or is my vision impaired...

Answer 6

Yes.
neighbor = x
Victoria = x + 4
"sum of ages no more than 14" --> < 14

Answer 7

Good point @tHe_FiZiCx99 I didn't notice that... 0.o

Answer 8

@Underreconstruction are you sure the answer chioces are accurate?

Answer 9

Sorry about that, here is how it should look. I should have checked the question before posting it.

Answer 10

It's C on the sheer premise it's "no more." The underscore is less than or EQUAL to. Therefore, you can deduce since they're all equal to, except C.

Answer 11

ah, I see. Then it would be D because you need the \(\leq\) right @tHe_FiZiCx99

Answer 12

So my answer is D?

Answer 13

Yes, I believe so

Answer 14

No no, that would make them equal to. It says no more, so it cannot be any of the ones with the underscore. Otherwise, the first phrase would not be useful as knowing their age is irrelevant, given they'd be equal to irrespective.

Answer 15

`no more than` is the same as `less than or equal to`.

Make sense Fiz? c:

Answer 16

So then C? (sorry if I'm being a bit confusing and annoying, I'm tired atm)

Answer 17

Yeah "no more than" that means it can equal 14, it just can't be more than 14 @tHe_FiZiCx99

Answer 18

@Underreconstruction No D

Answer 19

Um..

Answer 20

D
c:

Answer 21

@zepdrix please help me explain to @tHe_FiZiCx99

so sorry @Underreconstruction please wait while we sort this out

Answer 22

XD

Answer 23

It's alright :)

Answer 24

`not more than 14` means `14 or less`.

Understand Fiz? :d

Answer 25

I understand what you're implying, but I'm inferring the sense of it. Not the actual math of it

Answer 26

@tHe_FiZiCx99 It is \(\leq\) because "no more than" means it can't be more than 14. It says nothing about it not being able to equal 14

Answer 27

The sense of it?
Why does D not make sense to you?

The sum of their ages \(\rm (x)+(x+4)\) is `14 or less`
\(\rm (x)+(x+4)\le14\)

Answer 28

Must've missed that, my apologizes. Word problems were never my strength. That is, "It says nothing about it not being able to equal 14."

Answer 29

I know why it's D, Zep. I'm just pointing out the misuse of clarity

rip

Answer 30

@Underreconstruction So D

Answer 31

Okay, Thank you so much! :)

Answer 32

Sometimes school questions can be worded poorly @tHe_FiZiCx99