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>5 and 1-4y<6

x-7>5→ _____

1-4y<6→ ______

Combined inequality ________

a. 0>4y+7

b. X+2>0

c. X+4y>7

d. x-12>0

e. 0>(-4y-5)

f. X-4y>5

Answer 1

Answer: What grade is this? answer and I will respond

Step-by-step explanation:

Answer 2

Isolate x. Isolate y. Subtract 5 from both sides of the first inequality and 7 from both sides of the second inequality. Solve for x and



1-4y<6→ ______



Combined inequality ________



a. 0>4y+7



b. X+2>0



c. X+4y>7



d. x-12>0



e. 0>(-4y-5)



f. X-4y>5



f. c. X+4y>7



To solve for x-7>5, apply the Transitive Property to reach 1-4y<6 which states that -1-16y<2 or 4y>2 or X+4y>7. Therefore c is the correct answer choice.



To solve for 1-4y<6, apply the Transitive Property to reach x-7>5 which states that X+2>0. Solve this equation to reach X+4y>7. Therefore f is the correct answer choice.



a. 0>4y+7→ _____

b. X+2>0→ _____

c. X+4y>7→ _____

d. x-12>0→ _____

e. 0>(-4y-5)→ ______

f. X-4y>5 → ______

g. -3x+10<0 → ______

h. (x+3) (x-4) > 0 → _____



a. 0>4y+7→ 4y>7 → y>0

b. X+2>0→ -2>X → X<-10

c. X+4y>7→ X+4 (X) > 7 → X>3

d. x-12>0→ -12 >x → x<-1

e. 0>(-4y-5)→ -4y-5 <0 → y>5

f. X-4y>5 → X+4 (X) > 5 → X > -1

g. -3x+10<0 → -3x-30 <0→ x>30

h. (x+3) (x-4) > 0 → x(x-4) >0 → x≠ -4, X≠4, X≠-3, x ≠ 9, x ≠-12 or (x≠ 3, x≠ -1) and (X≠ 4, X≠ -3)



3. b

4. d

5. f

6. h

7. a

8. e

9 c 10 g 11 i 12 b

13 j 14 h 15 k