Question

Selena is graphing the inequality x<−2. She begins by drawing a number line and placing an open circle at –2. A number line going from -7 to 3. An open circle is at -2. What could be Selena’s next step?

a) Shading the number line to the left of the open circle
b) Shading the number line to the right of the open circle
c) Shading the number line to the right and left of the open circle
d) Shading in the open circle

Answer 1

Selena should shade the number line to the left of the open circle at -2 to represent the inequality x<−2, indicating all the values that are less than -2.

Step-by-step explanation:

Selena is graphing the inequality x<−2. She has correctly started by drawing a number line and placing an open circle at −2. Since the inequality is x<−2 (x is less than -2), the next step for Selena would be to shade the number line to the left of the open circle. This shading represents all the values that x can take, which are less than -2. It's important not to shade in the open circle because x is not equal to -2, hence why the circle is open to signify that -2 is not included in the solution set.