1. What is the solution to the compound inequality: 2x-2<-12 or 2x+3>7 * O x<-5 or x>2
O x<-5 or x>5
O
X<-7 or x>5
X<-12 or x>2

x<-5 or x>2

Step-by-step explanation:

2x-2<-12

2x<-12+2=>

2x<-10=>

x<-10÷2=>

x<-5.

2x+3>7

2x>7-3=>

2x>4=>

x>4÷2=>

x>2.

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.