Question

Given: -7x < -21. Choose the solution set. {x | x < -3} {x | x > -3} {x | x < 3} {x | x > 3}

Answer 1

First, simplify the inequality by getting the x term with a coefficient of 1.

Divide both sides by -7. When you multiply or divide an equality by a negative number, you flip the inequality sign the opposite way.

-7x / -7 < -21 / -7
x > 3

In set build notation is would look like this: {x | x > 3}

Which would be read as "the set of all x, such that, x is greater than 3".