Question

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

you really need to check all four and see which one works
replace \(x\) by the first number, \(y\) by the second number and see if both
\[y\leq x-5\] and
\[y\leq -x-4\] are true
btw there is no such thing as "less than or greater to"
it is either "less than" \(<\)
"less than or equal to" \(\leq\)
"great than" \(>\)
"greater than or equal to" \(\geq\)

i guessed at the first.
make sure not to say "less that or greater to" in class, or your teacher will think you are a fool

Answer 2

we can check one if you like

Answer 3

sure

Answer 4

ok but first which one is it?
is it "less than or equal to"?

Answer 5

less than

Answer 6

less than as in \(<\) or less than or equal to like this \(\leq \)

Answer 7

the 1st 1

Answer 8

ok lets try choice a)

Answer 9

here \(x=1,y=10\) so the first inequality \(y<x-5\) would be come \(10<1-5\) which is certainly not true, so we don't even need to check the second one