To solve this, you need to isolate/get the variable "x" by itself in the inequality:
2(1 - x) > 2x Divide 2 on both sides
1 - x > x Add x on both sides to get "x" on one side of the inequality
1 - x + x > x + x
1 > 2x Divide 2 on both sides to get "x" by itself
or (x is any number less than 1/2)
[Another way you could've solved it]
2(1 - x) > 2x Distribute 2 into (1 - x)
(2)1 + (2)(-x) > 2x
2 - 2x > 2x Add 2x on both sides
2 - 2x + 2x > 2x + 2x
2 > 4x Divide 4 on both sides to get "x" by itself
Answer:
80 < 93 < 121 < 127
Step-by-step explanation:
For a geometric series,
Formula to be used,
Sum of t terms of a geometric series =
Here t = number of terms
a = first term
r = common ratio
1).
First term of this series 'a' = 3
Common ratio 'r' = 2
Number of terms 't' = 5
Therefore, sum of 5 terms of the series =
= 93
2).
First term 'a' = 1
Common ratio 'r' = 2
Number of terms 't' = 7
Sum of 7 terms of this series =
= 127
3).
First term 'a' = 1
Common ratio 'r' = 3
Number of terms 't' = 5
Therefore, sum of 5 terms =
= 121
4).
First term 'a' = 2
Common ratio 'r' = 3
Number of terms 't' = 4
Therefore, sum of 4 terms of the series =
= 80
80 < 93 < 121 < 127 will be the answer.
use the substitution method
b+7
19+7
Answer: 26
Answer:
5. D: (-4,3] R: (5,-4] 7. D: (-1, 4] R: ( 5, -5]
Step-by-step explanation:
The domain is the point most to the left, and the point most to the right on the graph. The range is the point highest up and the point lowest down on the graph. You make a parentheses when the circle is hollow, but use a bracket when the circle is filled.