Matching Inequality and Interval Notation
Match the solution set given in inequality notation with the solution set given in interval notation.
x > 7.8
(-0,7.8)
x 27.8
(-00, 7.8]
x 57.8
(7.8,00)
x < 7.8
[7.8, 0)

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.

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.

it is contrapositive

i could not see the question too well so check yourself again too . this is because i want you to get it correct.

the correct answer is x/3+10≥32

hope this !