Question

Choose the inequality that is described below.


Eight more than a number is greater than or equal to ten.

A. x + 8 > 10
B. x - 8 > 10
C. x - 8 \geq 10
D. x + 8 \geq 10

Answer 1

C \[x - 8 \geq 10\]

Answer 2

D \[x + 8 \geq 10\]

Answer 3

lol im too late

Answer 4

Don't give me a direct answer please, can you explain this?

Answer 5

the point of this question is to see if you understand how to interpret English / equations

for example
Eight more than a number

that should mean something to you, and the idea is to *automatically* understand it.

to get the idea, think about this question
what is
8 more than 2 ?

Answer 6

If it's what I think it is, you are adding 8 to 2.

Answer 7

or even, what is
1 more than 2 ?

Answer 8

in other words, in English
8 more than 2 means the same (as you guess) as 8+2
just as
1 more than 2 means 1+2 (i.e. 3)

Answer 9

if they say
8 more than "a number"
we give a name to "a number" (x is a favorite name)
and using the same idea, we get
8 + x

Answer 10

and because when you add two things, the order does not matter
in other words
8+x is the same as x+8

Answer 11

Oh we want to figure out or isolate what X is?

Answer 12

no , we don't really have to solve anything. We are translating
Eight more than a number is greater than or equal to ten.
into math
so far we have
8+x is greater than or equal to ten
ten (hopefully this is obvious) is written as 10
so
8+x is greater than or equal to 10
or (if this is multiple choice you have to know it might also be written this way)
x+8 is greater than or equal to 10

Answer 13

How do we figure out if it is? And what do the underlines me on the >?

Answer 14

mean*

Answer 15

the last thing to translate is "greater than"
which is written > (which means the left side is bigger than the right side)
or equal (put "half of an equal sign" under the > ) to get \( \ge\)

Answer 16

the translation is
\[ x+8 \ge 10\]
we don't know if it is true or not. The only thing they are asking is how to change the words into that math.

Answer 17

of course, once we have that "statement" we can do "math stuff" to it (i.e. simplify it)
to \( x \ge 2 \)
(that is the simplified version

Answer 18

oh! So the underline represents equal or more than at the same time, since X is unknown.. We have to put both = and > together?

Answer 19

yes.
there is a difference between being bigger than 10 versus being 10 or bigger

Answer 20

So the answer would be D, since we are adding, and we don't know if the problem is equal or greater than 10.

Answer 21

also, it helps to remember that the "big" side of > goes next to the "big" side
example 2 >1 is true (it says 2 is bigger than 1)
and the big side of > is next to the bigger number

Answer 22

yes. choice D is the answer.

this is not a "math question" so much as a "can you rewrite English into math"

Answer 23

@phi Thank you for your help! Thank you for explaining to too so I can understand it! It's greatly appreciated! :)

Answer 24

you should also learn what "1 less than 2" means
in math it means 2-1 (and the answer is 1)

1 less than a number means x-1

Answer 25

Hmm. So I from what I understand. 2 less than 1 = 1-2 = 1-2= -1 and 1 less than 2 = 2-1=1

Answer 26

exactly

Answer 27

Alright! Thanks for your help! :)

Answer 28

for example
2 less than 1
in terms of temperature means 2 degrees colder than 1 degree means its -1 degree