Question

I Need help. Thanks.

Answer 1

`y\ge \:-2`

Explanation:

`-2(5y-5)-3y \leq -7y+22`

Expand the brackets

`-10y+10-3y \leq -7y+22`

`-10y-3y+10 \leq -7y+22`

`-13y+10 \leq -7y+22`

Add 7y and -10 on both sides.

`-13y+7y \leq 22-10`

`-6y \leq 12`

Divide -6 on both sides.

`(-6y)/(-6)\ge (12)/(-6)`

`y\ge \:-2`

Answer 2

A

Explanation:

`-2(5y-5)-3y\leq -7y+22`

Expand parentheses:

`-10y+10-3y\leq -7y+22`

Move all y's to one side and numbers to the other:

`-6y\leq 12`

Divide both sides by -6. Since you are dividing both sides by a negative number, you need to flip the comparator:

`y\geq -2`

Hope this helps!