Use interval notation to express solution set and graph the solution set on a number line

Question

Solve the linear inequality. Other than ∅​, graph the solution set on a number line. graph the solution set on a number line. -3x≥9

Answer 1

we started with

-3x> 9

First, we must solve the inequality by deciding both sides by -3. Remember, when dividing both sides of an equality by a negative number, the sign flips. now we have

x < -3

to express this in set notation, we would say “when x is an integer (written as Z), x is less than or equal to -3”, written like so:

{x c Z | x < -3}

to graph, we use a number line. Because it is equal as well, we use a closed circle.

<____________________________*_____________>. –8 -7 -6 -5 -4 -3 -2 -1 0

Answer 2