Question

(WILL GIVE MEDAl)
Which of the following points lie in the solution set to the following system of inequalities?

y less than or greater to x - 5
y less than or greater to -x - 4

(1, 10)

(-1, 10)

(10, 1)

(1, -10)

Answer 1

Less than or greater to?
Or "Less than or equal to"?

Answer 2

\[\Large y \le x-5\]\[\Large y \le-x-4\]

Answer 3

??? @terenzreignz

Answer 4

Are those^ your inequalities?

Answer 5

yes @terenzreignz

Answer 6

Well, there's the easier way to do this...
Check each point.
Say, the point (1,10)
Meaning
x = 1
and y = 10

Answer 7

And test it out with each inequality to see if it 'fits'
It must 'fit' both inequality.

Answer 8

Let's test out the first choice, (1,10)
x = 1
y = 10
with the first inequality
\[\Large y \le x - 5\]\[\Large \color{blue}{10}\le \color{red}1 - 5\]\[\Large 10 \le -4\]
Which clearly isn't true, so the first choice isn't the answer :P
Test out the other choices.

Answer 9

(10, 1)??? @terenzreignz

Answer 10

Show me your work :P

Answer 11

1 <= 10 - 5
so 1<= 5
@terenzreignz

Answer 12

That's true, but I said it has to fit both inequalities, not just the first.
The first point I tested didn't work out with the first one, so I didn't bother checking with the second one.

This point, (10, 1)
test it with the second inequality...

Answer 13

1 <= 14 @terenzreignz

Answer 14

Either you made a typo or you didn't notice the negative signs in your second inequality\[\Large y = \color{red}-x \color{red}-4\]

Answer 15

2 negatives are a positive right?? @terenzreignz

Answer 16

@terenzreignz