Question

Solve the inequality: f(x)≤g(x). write the solution in interval notation.

Answer 1

The goal is to isolate x in both equations by adding, subtracting, multiplying or dividing both sides of the inequality by an identical value.

3x + 7 < 10
Subtract 7 to both sides
3x < 3
Divide both sides by 3
x<1


6x - 14 > 4
Add 14 to both sides
6x>18
Divide both sides by 6
x> 3

So x must be both lower than 1 OR bigger than 3. Solution (-∞;1)∪ (3;+∞) (corrected from a previous version)