Answer:
see explanation
Step-by-step explanation:
a and b lie on the straight line CA, hence
and b sum to 180°, that is supplementary angles
3.5x-10>-3 add 10 to both sides
3.5x>7 divide both sides by 3.5
x>2
... now for the other inequality:
8x-9<39 add 9 to both sides
8x<48 divide both sides by 3
x<6
So we have x>2 and x<6, so the compound inequality is:
2<x<6 and this means that the solution set is:
x=(2, 6)
Answer:
rewrite each sentence change the underline word (s) to a pronoun my friends and i are going to the movies
Assuming they start saving at 0 dollars
45=total=duanesavings+micksavings
duanesavings=confusing, I will explain
mick savings =amount saves per week times number of weeks
duane saves 5 dollars every other week, aka 2.5 dollars per 1 week
DS=2.5w
MS=2w
since they save at same time and at that week, when the weeks are equal (w=w), 45 it total
DS+MS=45
2.5w+2w=45
4.5w=45
divide by 4.5 both sides
w=10
10 weeks
x+2 > 10 solves to x > 8 after we subtract 2 from both sides
So set A is the set of real numbers that are larger than 8. The value 8 itself is not in set A. The same can be said about 5 as well.
Set B is the set of values that are larger than 5 since 2x > 10 turns into x > 5 after dividing both sides by 2. The value x = 5 is not in set B since x > 5 would turn into 5 > 5 which is false. The values x = 6, x = 8, and x = 9 are in set B.
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Summarizing everything, we can say...
5 is not in set A. True
5 is in set B. False
6 is in set A. False
6 is not in set B. False
8 is not in set A. True
8 is in set B. True
9 is in set A. True
9 is not in set B. False
