2(x-3)< 8 or x+5> 6

Solve the compound inequality

1 < x < 7

Step-by-step explanation:

1. Solve for 2(x - 3)

Step 1: Simplify both sides of the equation.

Step 2: Add 6 to both sides.

Step 3: Divide both sides by 2.

2. Solve for x + 5 > 6

Step 1: Subtract 5 from both sides.

3. Now that we know x is more than one but less than 7, we can write the solution as this: 1 < x < 7.

Therefore, the answer is 1 < x < 7.

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.

go and ask your mom to you