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
