Question

Which of the following points are solutions to the system of inequalities shown below?

Check all that apply.

x + y =< 5 + 2
y > 2


A. (1, -1)
B. (2, -5)
C. (1, 1)
D. (5, 2)
E. (2, 5)
F. (3, 6)

Answer 1

@phi

Answer 2

does the first equation really say
x + y ≤ 5 + 2
(which simplifies to x+y ≤ 7 )?

Answer 3

meanwhile, you can eliminate some of your choices (relatively) easily
using the 2nd equation y > 2
cross off any answer that has the second number in the (x,y) pair 2 or less

Answer 4

sorry wasnt paying this any attention, yes it does & ok

Answer 5

Which choices can you rule out (knowing y must be > (i.e. bigger) than 2) ?

Answer 6

y is the 2nd number in the pair. Look at the second number. Is it 2 or less ? Then that choice is not allowed.

Answer 7

a, c .

Answer 8

choice b has (2, -5)

is -5 bigger than +2 or less than +2 ?

Answer 9

not sure

Answer 10

if you think of temperature -5º warmer or colder than +2º ?

Answer 11

lower

Answer 12

yes. -5 is less than (or colder ) than +2

or if you think height above the water -5 is 5 below the surface and +2 is 2 above the surface.

in other words -5 is less than +2

Answer 13

so cross of choices a,b,c

what about choice d
(5, 2)
?
is y > 2

in other words, is the 2nd number in (5,2) bigger than 2 ?

Answer 14

its equal

Answer 15

yes, and equal is not bigger. cross off choice d

Answer 16

we are left with 2 choices that might work
E. (2, 5)
F. (3, 6)

use the first equation (after we simplified it)
x+y≤ 7

Answer 17

x+y ≤ 7

to use that, add up x and y ... that means add up the two numbers in the pair
then check if the sum is less than or equal to 7
can you do that ?

Answer 18

yeah one minute

Answer 19

then e

Answer 20

2+5≤ 7
7≤7
is true. So choice e works.

They want Check all that apply.
what about choice F ?

Answer 21

choice f was more than 7

Answer 22

yes, so only choice E

Answer 23

ok (: thank you

Answer 24

yw