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

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)