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c

Step-by-step explanation:

a.) 3(2)+4(6)= 6+24= 30

b.)3(6)+4(2)= 18+8= 26

c.)3(2)+4(-6)= 6+(-24)= -18

d.)3(-2)+4(6)= -6+24= 18

-18 is less than -1

Less than inequality sign means less than or equal to

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.

-1

step-by-step explanation: