Answer:
A: -3x > 24
Step-by-step explanation:
The missing step above is the result of adding 10 to both sides of the inequality.
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Comment on the solution of this inequality
The solution shown is correct and gives correct results, but it requires that you divide by a negative number. That division can be by a positive number if the first step is to add x to both sides. Then the second step is to subtract 14 and you get ...
-24 > 3x
Division by a negative number is not required, and the direction of the inequality stays the same:
-8 > x
Further comment on the solution
Using left-pointing inequality symbols (< or ≤) arranges the left-right order of the operands the same way they are arranged on the number line. That is, for the solution to this inequality, all of the values of x are to the left of -8 on the number line. Writing the inequality in the form ...
x < -8
can help you see that. A bit of mental gymnastics is required when the inequality is written ...
-8 > x
and you want to graph or choose values of x that match this result. Of course, once you have -8>x, you can easily swap sides to make it x<-8.
