1) Expand the left side of the inequality:2(y-2) = 2y - 4
Now our inequality becomes:2y - 4 ≥ 3y + 1
Subtract 2y from both sides:-4 ≥ y + 1
Subtract 1 from both sides:-5 ≥ y
So the solution to the first inequality is y ≤ -5.
2) Expand the left side of the inequality:5(y+1) = 5y + 5
Now our inequality becomes:5y + 5 ≤ 4y + 3
Subtract 4y from both sides:y + 5 ≤ 3
Subtract 5 from both sides:y ≤ -2
So the solution to the second inequality is y ≤ -2.
1) Expand the left side of the inequality:
2(y-2) = 2y - 4
Now our inequality becomes:
2y - 4 ≥ 3y + 1
Subtract 2y from both sides:
-4 ≥ y + 1
Subtract 1 from both sides:
-5 ≥ y
So the solution to the first inequality is y ≤ -5.
2) Expand the left side of the inequality:
5(y+1) = 5y + 5
Now our inequality becomes:
5y + 5 ≤ 4y + 3
Subtract 4y from both sides:
y + 5 ≤ 3
Subtract 5 from both sides:
y ≤ -2
So the solution to the second inequality is y ≤ -2.