SOLUTION: Solve each inequality. State the solution set interval notation and sketch its graph. 4-3(w-5)<-2w

Question 352653: Solve each inequality. State the solution set interval notation and sketch its graph. 4-3(w-5)<-2w
Found 2 solutions by sofiyac, ewatrrr:
Answer by sofiyac(983) (Show Source): You can put this solution on YOUR website!
distribute the -3
combine like terms
add 3w to each side
so we read that as w is greater than 19
Find x=19 on a real numbered line and draw an open circle, then draw an arrow to the right of 19

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Hi,
4-3(w-5)<-2w
.
simplify
4 - 3w +15 < -2w
.
Add 3w to each side of the inequality
4+ 15 19 < w
.
solution set in interval notation
w > 19
(19,+∞) Note: the left Parenthesis indicates w > 19
.
Graph would be all points on the number line greater than 19
Use an open circle at w = 19 to show it is not included and extend the shaded arrow to the right,
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