Question

only one of the following statements is correct. select the correct statement. (1 point) the greater than symbol will use a closed circle on a number line because the roots are included in the solution. the less than or equal to symbol will produce a solution that is a compound inequality in the form of a ≤ x ≤ b. the less than or equal to symbol will use an open circle on a number line because the roots are not part of the solution. factoring is the only method that can be used to identify the roots of a quadratic inequality.

Explanation:

1. The greater - than symbol ($>$) uses an open circle on a number line as the roots are not included in the solution, so the first statement is wrong.
2. The less - than or equal to symbol ($\leq$) can produce a compound inequality of the form $a\leq x\leq b$, which is correct.
3. The less - than or equal to symbol ($\leq$) uses a closed circle on a number line as the roots are part of the solution, so the third statement is wrong.
4. Factoring is not the only method to find the roots of a quadratic inequality. Other methods like the quadratic formula can also be used, so the fourth statement is wrong.

Answer:

The less than or equal to symbol will produce a solution that is a compound inequality in the form of $a\leq x\leq b$.