The discussion revolves around solving the inequality \( \frac{7}{2}x \geq -\frac{1}{4} \) and subsequently plotting the solution on a number line. Participants are clarifying the interpretation of the expression and the steps involved in solving it.
The conversation is active with participants providing feedback on each other's interpretations and calculations. Some have suggested reworking the problem for clarity, while others confirm the correctness of the rewritten inequality. There is a focus on ensuring that the expression is understood correctly before proceeding with the solution.
There is some uncertainty regarding the notation used in the original inequality, which has led to different interpretations. Participants are also discussing the implications of the solution on a number plot, particularly the inclusion of zero and the behavior towards infinity.
How did you get this? You could show your steps to help troubleshooting.rcmango said:The Attempt at a Solution
7x/7 >= -2/4 = -1/2
We're uncertain as to what you mean by 7/2x. A literal interpretation using operator precedence would be (7/2) * x. Others might incorrectly interpret this as 7/(2x). What did you mean?rcmango said:7/2x >= -1/4
mfb said:Just to make sure: Your original equation is ##\frac{7}{2}x \geq -\frac{1}{4}##, so x is not in the denominator?
Again, you need to be sure to add brackets where necessary because 7/2*x can be confused as 7/(2x). In this case, I'd just go ahead and write 7x/2.rcmango said:The way this equality is written is correct.
So i reworked the problem, and I get this answer instead.
2* 7/2*x >= -1/4 *2
What you have is correct and yes, it'll include x=0 and yes it'll go all the way to infinite. You can try it out for yourself as well! Plug in x=0 forrcmango said:7x >= -1/2
7x/7 >= -1/2 / 7/1
x>= -1/14
which on a number plot should be about 0 to wherever (infinity)? including 0.