-7 (y + 3) + 34 []\greaterequal; 5 (5 - y)

Answer 1

To solve the inequality, we will first simplify the expression on both sides:

-7(y + 3) + 34 ≥ 5(5 - y)

-7y - 21 + 34 ≥ 25 - 5y

-7y + 13 ≥ 25 - 5y

Next, we will combine like terms:

-7y + 13 + 5y ≥ 25

-2y + 13 ≥ 25

Subtract 13 from both sides:

-2y ≥ 12

Finally, divide by -2 (and remember to reverse the inequality when dividing by a negative number):

y ≤ -6

Therefore, the solution to the inequality is y ≤ -6.