Question

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

y ≤ to x - 5
y ≤ -x - 4

(1, 10)

(-1, 10)

(10, 1)

(1, -10)

Answer 1

ignore the to on the first one

Answer 2

Do you have a chart to go with this problem

Answer 3

No it doesn't come with a chart

Answer 4

i think we need to plugin in each point into both the inequalities and see if it satisfies

Answer 5

10 ≤ 1 - 5
10 ≤ -1 - 5
1 ≤ 10 - 5
-10≤ 1 - 5
For The first one

Answer 6

Lets test the first option : (1, 10)

y ≤ x - 5
y ≤ -x - 4

10 <= 1 - 5
FALSE.

Answer 7

as soon as u get some incorrect statement, u ditch that option and move on to testing next option

Answer 8

OK do I need to do it for both equations or just 1

Answer 9

test second option : (-1, 10)

10 <= -1-5
FALSE.

Answer 10

so second option is also wrong.

onetime wrong is sufficient to kill that option...

Answer 11

see if the third option satisfies both the inequalities

Answer 12

Ok so the next one would be True and it equals -4

Answer 13

you're right btw, the point must satisfy BOTH the inequalities

Answer 14

does the third option satisfy both the equations ?

Answer 15

1 ≤ -10 - 4
False
No

Answer 16

good, so third option is also bad...

test the last option (obviously it has to be the right one :) )

Answer 17

True and it equals -6 for the first one

Answer 18

True and it equals negative five for the second one!

Answer 19

You have it !!

Answer 20

Thank You @ganeshie8 !

Answer 21

yw