Question

which answer is a solution to the inequality?
3x+y>-8

A. (-3 , 0)
B. (-2 , -1)
C. (0 , -10)
D. (2 , -16)

Answer 1

i will metal

Answer 2

You can input or graph and see where it passes (though most choose the first option).

\(\huge\bf{3(-3)+0>-8}\)

\(\huge\bf{3(-2)+(-1)>-8}\)

\(\huge\bf{3(0)+(-10)>-8}\)

\(\huge\bf{3(2)+(-16)>-8}\)

Answer 3

Whichever is true is the answer.

Answer 4

i dont know how to do that thats why i posted it on openstudy so youll could help me

Answer 5

i know how to put numbers on a graph i just dont know wha numbers to put on there

Answer 6

Just simplify.

\(\huge\bf{3(-3) = -9}\)

\(\huge\bf{-9 + 0 >-8 \rightarrow -9 > -8}\)

A is not the answer due to the fact `-9` is less than `-8`.

Answer 7

@Will.H

Answer 8

ok

Answer 9

We apply the same process to the next one.

\(\huge\bf{3(-2) = -6}\)

\(\huge\bf{-6+(-1)>-8 \rightarrow \color{red}{-7>-8}}\)

Is this true?

Answer 10

yes its true

Answer 11

so B is the answer?

Answer 12

So that would be your answer :)

Answer 13

simple hacks for such question are to put the co-ordinates in the options in the equation and see which one hold true...

Answer 14

thank you:) i have 4 more if you want to help ill be posting them in a sec.

Answer 15

We input due to the fact corrdinates are in the form of \(\large\bf{(x,y)}\) so we input the value of `x` where `x` is in the equation, this also applies with y though we plug with y.