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B and D

Step-by-step explanation:

14x - 7x + 21

Simplifies into

B. 7x + 21

 When you combine like terms 14x and 7x, you'll subtract 7 from 14, which gives you 7x and you add 21 just as before.

D. 7(x + 3)

 When you simplify after combining like terms, you can factor. 7 is a factor in both itself and 21. So 7x / 7 = x and 21 / 7 = 3. Which gives you 7(x + 3)

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.

hi there!

the answer will be d: 2