11. Given: 17 - 3(w + 5) = 6(w + 5) - 2w; Prove: w = -4
Statements
Reasons
11.17-3(3+5)=6(W+5)-2W
2.17-30-15= 60 +30 -2W
3.-3W +2 = 4W+30
4. -7W +2=30
5. -W=28
1. W= -4

Step-by-step explanation:

              Statements                                     Reasons

1). 17 - 3(w + 5) = 6(w + 5) - 2w            1). Given

2). 17 - 3w - 15 = 6w + 30 - 2w            2). Distributive property

3). -3w + 2 = 4w + 30                           3). Addition property of equality

4). -7w + 2 = 30                                    4). Subtraction property of equality

5). -7w = 28                                          5). Subtraction property of equality

6). w = -4                                              6). Division property of equality

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.