Graph the solution if the this inequality 4/9x-10>x/3-12
1 answer:
You want to isolate the x-term from the constant term, so you can subtract x/3 and add 10. This gives you
... 4/9x -10 -x/3 +10 > x/3 -12 -x/3 +10
... 1/9x > -2 . . . . . . collect terms
Now, you can multiply by 9 to see the condition on x.
... 9(1/9x) > -2(9)
... x > -18
On the x-y plane, the graph of this will be a dashed line at x=-18, and the half-plane to the right of that line will be shaded.
On a number line, there will be an open circle at x=-18, and the number line to the right of that circle will be marked (bold, colored, shaded, whatever).
You might be interested in
Answer:
Step-by-step explanation:
This situation can be considered as a piecewise function. First, you take xo as the time in which the drone goes upward. Before this time the height of the drone is constant with a value of 5 m. Next, you take into account that during 1.9 s after xo the drone accelerates. Finally, the drone flies again with a constant height of 5.9m. Hence, this function has three parts:
For the first part you have:
y = 5 for x < xo
For the second part you first calculate vertical speed (which means the slope of the linear function) by using the following kinematic equation:
Then you have:
y = 0.47x for xo < x < xo + 1.9s
And for the third part:
y = 5.9 for x > xo + 1.9s
Summarizing you obtain: