Step-by-step explanation: First, we need to solve this inequality.
When you're asked to solve an inequality like -3x > 18, your goal should be the same as it was when solving equations, to get <em>x</em> by itself on one side.
In this problem since <em>x</em> is being multiplied by -3 on the left side of the inequality, to get <em>x</em> by itself, we divide both sides by -3 but here is the rule you have to watch out for when solving inequalities.
When you divide both sides of an inequality by a negative number, you must switch the direction of the inequality sign. So this greater than in our original problem becomes less than in our second step.
On the left side, the -3's cancel and we're left with
<em>x</em> and on the right side, 18 divided by -3 is -6.
So we have x < -6.
Now, we are asked to state some solutions to the inequality.
The inequality x < -6 means that any number
less than -6 is a solution to the inequality.
For example, -7 is a solution because -7 is less than -6.
-8 is also a solution because -8 is less than -6.
Other possible solutions include -23, -98, -982, and so on.
Any number less than -6 will be a solution.
