SOLUTION: Solve algebraically. 1−7y≥12−4y Write the solution in​ set-builder notation. (Type an inequality. Use integers or fractions for any numbers in the&#820

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Question 1111202: Solve algebraically.
1−7y≥12−4y
Write the solution in​ set-builder notation.
(Type an inequality. Use integers or fractions for any numbers in the​ inequality.)
The solution in interval notation is _______.
Answer by mahikab(11) About Me  (Show Source):
You can put this solution on YOUR website!
First, we solve for y:
1−7y ≥ 12−4y
Subtract 1 from both sides:
-7y ≥ 12-4y-1
-7y ≥ -4y+11
Add 4y to both sides:
-7y+4y ≥ 11
-3y ≥ 11
Divide both sides by -3:
-3y/-3 ≤ 11/-3
y ≤ -11/3
In set builder notation: {y|y≤-11/3}