Question

Which of the following points lie in the solution set to the following system of inequalities?

y x - 5
y -x - 4

(1, 10)

(-1, 10)

(10, 1)

(1, -10)
this is my last question.

Answer 1

> or <
?

Answer 2

y less than or equal too x - 5
y less than or equal too -x - 4

Answer 3

http://fooplot.com/#W3sidHlwZSI6MCwiZXEiOiJ4LTUiLCJjb2xvciI6IiMwMDAwMDAifSx7InR5cGUiOjAsImVxIjoiLXgtNCIsImNvbG9yIjoiIzAwMDAwMCJ9LHsidHlwZSI6MTAwMCwid2luZG93IjpbIi03LjA2Mzk5OTk5OTk5OTk5OSIsIjYuMjQ4MDAwMDAwMDAwMDAyIiwiLTkuMjA2MDc5OTk5OTk5OTk4IiwiLTEuMDE0MDc5OTk5OTk5OTk5NiJdfV0-
The y-co-ordinate has to be on or below BOTH lines.

Answer 4

Or just (in your head) insert the values of each of the 4 possible answers into both inequality, and if y still is less than or = to both, that is the right answer.

Answer 5

ok thank you

Answer 6

Example: take (10,1)
x=10, y=1: inserting these values into both inequalities

1<10-5=5
1<-10-4=-14
And this contradicts the first inequality, so isn't the correct point.