Question

Which of the following points is a solution of the inequality y < -|x|?

Answer 1

(1, -2)
(1, -1)
(1, 0)
i don't know how to solve it =[

Answer 2

the first number is the x number
the 2nd number is the y
for example, in the first choice
(1, -2)
1 is x and -2 is y
put those numbers into your inequality.
can you do that ?

Answer 3

I don't want to just give out the answer but yes follow what phi is saying. Keep in mind that there is still a negative outside the absolute value.

Answer 4

how would i trun this in to inequality :[

Answer 5

It already is an inequality you should try plugging in x first on the right side and see what its final answer is, then compare that to the value of y from the form (x, y) as you gave above.

Answer 6

Final value is*

Answer 7

O--O I SEEE okayii let meh try

Answer 8

Remember that the absolute value of anything will be positive, HOWEVER there's a negative on the outside that you must multiply hint hint

Answer 9

I got B :/

Answer 10

you start with
y < -|x|

now check (1, -2)
remember 1 is the "x" so erase the x and put in 1 instead:
y < -|1|
next, replace the y with -2, like this:
-2 < -|1|
now we have to figure out if that is true.

do you know that |1| simplifies to 1 ?

Answer 11

so you now have
-2 < -1

is -2 less than -1 ? (is -2 degrees colder than -1 degrees ?)

Answer 12

so would that be 0 then =[

Answer 13

-2 < -1 is true. that means the point (1,-2) is a "solution" to the inequality.

Answer 14

phi then that means -1 solution is greater

Answer 15

in case it is not obvious,
-2 < -1
is "math" for claiming:
-2 is a smaller number than -1
and that is either true or false.

Answer 16

Okayii thx very much!!! I really sturggle with this form!!! :[

Answer 17

What phi said. Basically look at it like this:

y < - |x|
If one of the solutions (A) is (1, -2) try plugging X in first.

y < -|1|
y<-1

Now we KNOW x is -1 for the equation so lets pop y in and see what it looks like

-2 < -1

Which is basically saying -2 is LESS than -1 which is obviously true!

Answer 18

Thank you very much!!! I'll try another one on my own!!!Thnks again!!!