Question

Set both inequalities greater than (>)or less than (<) zero. Transform the second inequality so both have the same inequality symbol. Apply the Transitive Property and solve. Make sure the leading coefficient is positive.
x+7>(−2) and y−5<9

x+7>(−2)→

y−5<9→

Combined inequality


a. 0>y−4
b. 0>y−14
c. x−y>1
d. x+9>0
e. x−y>(−23)
f. x−5>0

Answer 1

Answer: (e) x−y>(−23)

x+7>(−2) and y−5<9

First isolate x and y

x+7>(−2)→ x > -9

y−5<9→ y < 14

Transform the second inequality to make the < to a > (multiply by -1):

y < 14  → -y > -14  

add both inequalities:

x > -9 and -y > -14

x-y > -9 - 14

x - y > -23