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.

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
Step-by-step explanation: