Answer:
Step-by-step explanation:
The easiest way to answer this question is to ...
- notice that the graph must have open circles
- find that x=0 is NOT a solution
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There are different strategies you can use for answering multiple-choice math problems. One is to work the problem and choose the solution that matches your result.
Another is to try the available solutions to see what works.
Yet another is to eliminate the choices that can't work.
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This last strategy is useful here.
We note that the inequality symbols are >, so do not include the "or equal to" case. That means any solution on a number line graph will have open circles, not closed dots. This eliminates the 2nd and 4th choices.
The remaining two graphs give you the choice of numbers between 3 and 6, or numbers outside 3 to 6. Trying any value on the number line will tell you which of these is the solution. Perhaps the easiest is x=0.
Using x=0 in the given inequality makes it ...
-13 > 2 > -28 . . . . . NOT TRUE
So, numbers outside the range 3 to 6 cannot be solutions. This eliminates the 3rd choice.
The answer is the first choice.
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If you want to solve this, you can subtract 2 from the inequalities:
-13 -2 > -5x +2 -2 > -28 -2
-15 > -5x > -30 . . . . . . . . . . . . simplify
Now, you can divide by -5. Of course, the sense of the comparison must change direction, because the divisor is negative.
-15/-5 < -5x/-5 < -30/-5
3 < x < 6 . . . . . . . . . . . . . . . . simplify . . . . matches the first choice
