state the property which is a reason for each statement.

a. if a<0 and b> 0, then a<b.

b. if x>7, then x is not equal to 7.

c. if 5>9 and 2<3, then 7<12.

d. if m = 10 and n= 6, then m+n = 6

e. if squareroot of a = 5 is true, then square root of a + 4 is false

my answer

a.transitive property

b.trichotomy property

c.subtraction property of equality

d.addition property of equality

e. ?????

iF any could know the exact answer please check my work? thanks....