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 greater than or equal to -x - 4

(-5, 2)

(5, -2)

(-5, -2)

(5, 2)

Answer 1

please help me

Answer 2

well, test the points against the inequalities

let's check the 1st one

y <= x-5

(-5, 2)

(2) <= (-5)-5
2 <= 0 # is that true, well, 2 is really bigger than 0, so no dice there

now test the 2nd point

Answer 3

oh i see it will be (-5,2)
thats the answer
right?

Answer 4

after replacing the "y" and "x" with their corresponding values in the ordered set given
(-5, 2) ..( ...)
x, y

the inequality must be true for both cases


testing the 1st point, it gave \(\bf 2 \le 0 \) which is not true, thus it's not the solution

Answer 5

im confuse so what the answer

Answer 6

well, test B see if it works, if it doesn't, test C

Answer 7

okay

Answer 8

i think answer is (-5,2)

Answer 9

we test it that one, we got as answer \(\bf 2 \le 0\)
now, is 2 really smaller than 0?

Answer 10

or equal for that matter

Answer 11

soo (-5,-2)

Answer 12

let's test B
1st case y <= x - 5

point is ( 5, -2)
x y

what does it give you?

Answer 13

(5,-2)

Answer 14

well can u just give me the answer

Answer 15

anything stopping you from testing it?