7. Carol took the subway to a local carnival. When she wanted to go home she looked up
subway times. The L train and the R train
both stop at the carnival.
• The L train and the R train both left the
carnival at 2:30 pm
• The L trains were scheduled to leave every 8
minutes.
• The R trains were scheduled to leave every 6
minutes.
If the trains run on schedule, when is the next
time a L and R train will leave together?

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

answer: i think it is (1,-2)