Answer :

Final answer:

To solve the inequality 7 - 9/10x < 16, subtract 7 from both sides, then divide by -9/10 to isolate x. The solution is x > -10.


Explanation:

To solve the inequality 7 - 9/10x < 16, we can start by isolating the variable x. We'll begin by subtracting 7 from both sides of the inequality:

7 - 7 - 9/10x < 16 - 7

-9/10x < 9.

Next, we divide both sides of the inequality by -9/10 to isolate x:

(-9/10x) / (-9/10) > 9 / (-9/10)

x > -10.

The solution to the inequality is x > -10.


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