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.

Answer 1

(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

Explanation: