What is the solution to –2(5y – 5) – 3y ≤ –7y + 22?

a. y ≤ 2
b. y ≥ –2
c. y ≥ –10
d. y ≤ –20

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.

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step-by-step explanation:

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