Question

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

y <= x - 5
y <= -x - 4

Answer 1

(1, 10)

(-1, 10)

(10, 1)

(1, -10)

Answer 2

plug in points in both the inequalities, if both gets satisfied, then the point lies in the solution set.
example : point (2,5)
x=2,y=5
x-5 = 2-5 =-3
y<=-3 ---> 5<=-3 is FALSE, hence 2,5 does not lie in the solution set.

Answer 3

example 2: point (10,3)
x=10,y=3
x-5 = 10-5 =5
y<=5 ---> 3<=5 is TRUE, hence 10,3 lies in the solution set.
in this same way, check for all points.

Answer 4

Im so confuse O.o

Answer 5

lets check for 1st option :
1,10
y<=x-5
10<= 1-5
10<=-4 is FALSE , right ?
so 1,10 does NOT lie in solution set.
can you check for other choices ?

Answer 6

I did this and got the second option am i right?

Answer 7

no, try 3rd.

Answer 8

Oh okay

Answer 9

I have another question just like this one. Can you help? i still don't understand this

Answer 10

do you have difficulty on how to plug in points ? or how to verify whether the point satisfies the inequality ?

Answer 11

plugging in and everything that comes after that

Answer 12

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

y > -3x + 3
y > x + 2

(2, -5)

(-2, 5)

(2, 5)

(-2, -5)

Answer 13

Lets take first choice : (x,y)=(2,-5) ...x= 2, y=-5

can you try once to plug in the values? just replace y by -5 and x by 2, what u get ?