8x - 2x(x+1) = 2(3x-1)
First, expand to remove parenthesis. / Your problem should look like:
8x - 2x - 2 = 6x - 2
Second, subtract 8x - 2x -2 to get 6x - 2. / Your problem should look like:
6x - 2 = 6x - 2
Third, both sides are equal, so there are infinite solutions. The equation is always true, meaning identity
Answer: Infinite solutions
Shoutout to: @Exvited
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To plot these points on the number line, you should label the long lines on the number line as such starting from the left (-5-already there, -4,-3,-2,-1,0,1,2,3,4,5-already there).
Now take each number and convert the improper fraction into a mixed number. 9/2 = 4 1/2 and -7/2 = -3 1/2.
4 1/2 would plotted on the line exactly in between the 4 and 5.
-3 1/2 would be plotted on the line exactly halfway between -3 and -4.
You will draw a dot to show each of these positions on a number line.
Before we can make sure that E is correct, we need to make the denominator is equal with questions and the choices or convert into decimal.
2/3 = 0.66
1/3=0.33
1/5=0.2
2/6=1/3 = 0.33
1/2 = 0.5
7/10 = 0.7
7/9 = 0.77
The question is :
2/3 < x < 7/9
0.66 < x < 0.77
We need to divide into 2 parts :
0.66 < x
x < 0.77
So we need to find the answer that x is greater that 0.66 and we got 7/10. And 7/10 is less than 7/9.
Hope this helps. Please ask if you don't understand.