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).
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Answer:
The solution of Timmy is saltier.
Step-by-step explanation:
We have to keep in mind that a solution is saltier if and only if salt has a greater proportion within solution. The following criterion is used to determine which solution is saltier:
Where:
- Salt ratio, dimensionless.
- Parts of salt, dimensionless.
- Parts of water, dimensionless.
Now, we find the salt ratios of Patty and Timmy:
Patty ( and
)
Timmy ( and
)
The solution of Timmy is saltier.