these inequalities is equivalent to − 2 x − 8 y ≤ 10 a) y > -1⁄4 · x − 5⁄

Question

Which of these inequalities is equivalent to 

− 2 x − 8 y ≤ 10

a) y > ^-1⁄₄ · x − ⁵⁄₄

b) y ≥ ^-1⁄₄ · x − ⁵⁄₄

c) y ≥ ^-1⁄₄ · x + 10

d) y ≤ ^-1⁄₄ · x + 10

e) y ≤ ^-1⁄₄ · x − ⁵⁄₄

f) None of the above.

Answer 1

-2x - 8y <= 10 <--- given

2x + 8y >= -10 <--- multiplies both sides by -1; signs change

2x + 10 >= -8y <-- subtracts 8y from both sides

x + 5 >= -4y <-- divides both sides by 2

(x+5)/-4 <= y <--- divides both sides by -4; signs change

(-1/4) x - 5/4 <= y

option B