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3 years ago

What is |2x-3| less than or equal to 7??

Mathematics

2 answers:

Trava [24]3 years ago

8 0

|2x-3|=2x-3 ;x≥ 3/2
|2x-3|=-2x+3;x≤3/2

zalisa [80]3 years ago

7 0

|2x-3| </= 7. This needs to be split into 2 separate inequalities, due to the | | absolute value phrase.
1) 2x-3 </= 7 --> 2x-3 +3 </= 7 +3
2x </= 10 --> x </= 5
2) 2x-3 >/= -7 --> 2x-3 +3 >/= -7 +3
2x >/= -4 --> x >/= -2
These two inequalities can be placed together as: -2 </= x </= 5
So the numbers that are correct for the original inequality are: -2, -1, 0, 1, 2, 3, 4, 5
Hope that helps!

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Answer:

an=1*2.5^(n-1)

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Step-by-step explanation:

Complete question below:

What value, written as a decimal, should Lena use as the common ratio? Lena is asked to write an explicit formula for the graphed geometric sequence. On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25).

Solution

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a=1

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