Answer:
Hi there!
Your answers are:
1) x> 5
Some numbers that would fit this equation are 6, 7, 8, etc!
2) x<= 30
Some numbers that would fit this are 30, 29, 28, etc!
3) x>= 17
Some numbers that would fit this equation are 17, 18, 19, etc!
4) x>= 90
Some numbers that would fit this are 90, 91, 92, etc!
Hope this helps!
You can treat x and 2x+1 just as though they are real numbers.
So f(2x+1) = 3(2x+1) - 5 = 6x + 3 - 5 = 6x - 2
In the above, I made use of something called the distributive law which says that if a,b and c are real numbers, then a(b+c) = ab + ac.
The solution would
be like this for this specific problem:
sin ( x - ( pi / 7 ) ) = - sqrt ( 2 ) / 2
x - ( pi / 7 ) = - pi / 4 + 2n*pi or x - ( pi / 7 ) = (5pi / 4 ) + 2n*pi
x = ( pi / 7 ) - ( pi / 4 ) + 2n*pi or x = ( 5pi / 4 ) + ( pi / 7 ) + 2n*pi
x = ( - 3pi / 28 ) + 2n*pi
<span>I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.</span>
