Question

Use the interactive number line to graph the inequality x > -2.5

Which statements are true? Check all that apply.
o The arrow points to the left.
o The arrow points to the right.
o The circle is open.
o The circle is closed.

Answer 1

To graph the inequality x > -2.5, we place an open circle at -2.5 on the number line and draw an arrow to the right, indicating all values greater than -2.5 are part of the solution set. Hence, the arrow points to the right and the circle is open.

Step-by-step explanation:

To graph the inequality x > -2.5 on a number line, you first place an open circle at -2.5 to indicate that this value is not included in the solution set. The inequality x > -2.5 tells us that x can be any number greater than -2.5. With that in mind, the arrow on the number line should point to the right from the open circle to represent all the numbers that are greater than -2.5.

Now let's address the statements provided:

• The arrow points to the left. (This statement is FALSE, the arrow should point to the right.)
• The arrow points to the right. (This statement is TRUE, as x can be any number larger than -2.5.)
• The circle is open. (This statement is TRUE, because the value -2.5 is not included in the solution set.)
• The circle is closed. (This statement is FALSE, a closed circle would indicate that -2.5 is included in the solution, which it is not.)