Question

-2(7 + y) ≥ -8(y + 1)

Answer 1

Answer: y ≤ -2.2

Explanation:

Given expression

-2 (7 + y) ≥ 8 (y + 1)

Expand parentheses and apply the distributive property

-14 - 2y ≥ 8y + 8

Subtract 8y on both sides

-14 - 2y - 8y ≥ 8y + 8 - 8y

-14 - 10y ≥ 8

Add 14 on both sides

-14 - 10y + 14 ≥ 8 + 14

-10y ≥ 22

Divide -10 on both sides

(REMEMBER to change the [≤, ≥] signs when multiplying/subtracting a negative number)

-10y / -10 ≥ 22 / -10

`\boxed{y\leq -2.2}`

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