-3x - 7 > -10?

Answer 1

To solve the inequality, we can apply the same operations to both sides of the inequality to isolate the variable x.
Starting with -3x - 7 > -10:
Adding 7 to both sides, we get:
-3x - 7 + 7 > -10 + 7
Simplifying:
-3x > -3
Next, we divide both sides by -3, remembering to reverse the inequality sign since we are dividing by a negative number:
-3x / -3 < -3 / -3
Simplifying gives us:
x < 1/3
Therefore, the solution to the inequality -3x - 7 > -10 is x < 1/3.