Answer:
Option: B is the correct answer.
y≥ -2
Step-by-step explanation:
We are asked to find the solution of the inequality:
–2(5y – 5) – 3y ≤ –7y + 22.
We will solve for the inequality as:
-2×5y-2×(-5)-3y ≤ -7y+22 (on solving for the parantheses in the left hand side of the inequality)
-10y+10-3y ≤ -7y+22
⇒ -10y+7y-3y ≤ 22-10 (on combining the like terms)
⇒ -6y ≤ 12
⇒ y≥ -2 (on dividing both side by -6 also the sign of the inequality changes as the negative sign is treated on both the side)
Hence option: B is the correct answer.
y ≥ -2.