9k + 3 > 6k - 18
9k + 3 > 6k - 18

k > -7

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                    9*k+3-(6*k-18)>0  

Step by step solution :

STEP  1:

Pulling out like terms

1.1     Pull out like factors :

  3k + 21  =   3 • (k + 7)  

Equation at the end of step  1:

STEP 2:

2.1    Divide both sides by  3  

Solve Basic Inequality :

2.2      Subtract  7  from both sides

           k > -7

Inequality Plot :

2.3      Inequality plot for

        3.000 X  + 21.000  >  0

One solution was Made :

k > -7

HOPE THIS HELPS!

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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.

sine

step-by-step explanation: