What do brackets mean in inequalities?

Remember that a bracket, “[” or “]”, means that we include the endpoint while a parenthesis, “(” or “)”, means we don’t include the endpoint. Now, with the first four inequalities in the table the interval notation is really nothing more than the graph without the number line on it.

Why do we graph inequalities on a number line?

We can graph inequalities on a number line to get a better idea of how they’re behaving.

What do brackets mean on a number line?

We can use a number line as shown below. The main concept to remember is that parentheses represent solutions greater or less than the number, and brackets represent solutions that are greater than or equal to or less than or equal to the number.

How are inequalities represented on a number line?

Inequality Signs Symbol Words Example ≠ ≠ not equal to 2≠8 2 ≠ 8, 2 is not equal to 8 > > greater than 5>1 5 > 1, 5 is greater than 1 < < less than 2<11 2 < 11, 2 is less than 11 ≥ ≥ greater than or equal to 4≥4 4 ≥ 4, 4 is greater than or equal to

When to use brackets to solve inequalities in Algebra?

Use a bracket on the left of − 2 − 2 and parentheses after infinity: [ − 2, ∞) [ − 2, ∞). The bracket indicates that − 2 − 2 is included in the set with all real numbers greater than − 2 − 2 to infinity.

What does brackets mean on a number line?

Remember that a bracket, “ [” or “]”, means that we include the endpoint while a parenthesis, “ (” or “)”, means we don’t include the endpoint. Now, with the first four inequalities in the table the interval notation is really nothing more than the graph without the number line on it. Secondly, what does a filled in circle mean on a number line?

When do you use bracket notation in Algebra?

The bracket indicates that − 2 − 2 is included in the set with all real numbers greater than − 2 − 2 to infinity. Use interval notation to indicate all real numbers between and including −3 − 3 and 5 5. For intervals of values, enter your answer using interval notation.