Question

Express the solution set of 3x+2<7 as a set notation.

Answer 1

You can use interval notation to express where a set of solutions begins and where it ends. Interval notation is a common way to express the solution set to an inequality, and it’s important because it’s how you express solution sets in calculus.

Answer 2

Okay how do I do that? This is algebra 2.

Answer 3

The easiest way to find interval notation is to first draw a graph on a number line as a visual representation of what’s going on in the interval.

Answer 4

How do I know what points to plot? Like how do I figure that out?

Answer 5

If the endpoint of the interval isn’t included in the solution (for < or >), the interval is called an open interval. You show it on the graph with an open circle at the point and by using parentheses in notation. If the endpoint is included in the solution

Answer 6

the interval is called a closed interval, which you show on the graph with a filled-in circle at the point and by using square brackets in notation.

Answer 7

So would this be it? Sorry its messy