Solve the following compound inequality
-3 < x +7 <10

x > -10

x < 3

Step-by-step explanation:

separate into two inequalities

x+7> -3      

x+7<10

x + 7 -7> -3  + -7

    x > - 10

x + 7 -7 < 10 + -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.

answer: 48

just remember to use pemdas:

parentheses

expressions

multiplication

division

addition

subtraction