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

Question

Ayanna Arellano

Mathematics

7 June, 14:48

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

+2

Answers (1)

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Dickson · 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 (multiply by - 1):

y - 14

add both inequalities:

x > - 9 and - y > - 14

x-y > - 9 - 14

x - y > - 23