To solve the inequality, we need to isolate the variable x. We can start by subtracting 14 from both sides of the equation to get:
12 - 14 < -7x - 5
Simplifying both sides of the equation, we have:
-2 < -7x - 5
Next, we can add 5 to both sides of the equation:
-2 + 5 < -7x
Simplifying further:
3 < -7x
Finally, we can divide both sides of the equation by -7. Since we are dividing by a negative number, the inequality sign will flip:
3/-7 > x
The final answer is:
x < -3/7
12 < -7x - 5 + 14
1 answer