Question

Solve the compound inequality 6x-4<2x or -4x is less than or equal to -12

Answer 1

6x - 4 < 2x    |add 4 to both sides
6x < 2x + 4    |subtract 2x from both sides
4x < 4    |divide both sides by 4
x < 1

-4x ≤ -12    |change signs
4x ≥ 12    |divide both sides by 4
x ≥ 3

Answer: {x| x < 1 or x ≥ 3}.