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

Less than or greater to?

Answer 2

<=

Answer 3

that is less than or equal

try each of the choices and see which one works

Answer 4

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

Answer 5

but sepperate the 5 and the y

Answer 6

yes, two separate relations
y ≤ x - 5
and
y ≤ -x -4

Answer 7

I would test the pair with the smallest y as a first guess

Answer 8

um okay I'll try...

Answer 9

Can you explain how I fit the coordinates into the equation...?

Answer 10

the points are (x,y) pairs

to test if a point "works" replace x and y in the relation
for example (1,10) has x=1 and y=10
plop those into the first relation
y ≤ x - 5
10 ≤ 1 - 5
do the arithmetic
10≤ -4

no 10 is not less than or equal to -4
so the first choice is out.

if it did work, we would test that the point also worked for the second relation

Answer 11

Ohhh okay. Let me do the math real quick :)

Answer 12

Is it B?

Answer 13

@phi

Answer 14

Wait i think I did it wrong

Answer 15

how did you do it ?

Answer 16

Actually I think it's D because -10<= 1-5 is true and so it -10<=-1-5 because 4 is greater than -10 and so is -6

Answer 17

yes, it is D. but you mean -10 ≤ 1-5 or -10 ≤ - 4 (not +4)
I assume that was a typo

Answer 18

Yes it was :)