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

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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) About Me  (Show Source):
You can put this solution on YOUR website!
4-3%28w-5%29%3C-2w distribute the -3
4-3w%2B15%3C-2w combine like terms
19-3w%3C-2w add 3w to each side
19%3Cw 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
+graph%28+300%2C+200%2C+19%2C+30%2C+-1%2C+1%2C+x=19+%29+

Answer by ewatrrr(24785) About Me  (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,