Question

Geraldine is graphing the inequality x less-than 6. Which statements below describe steps she may take to graph the inequality correctly? Check all that apply. Draw an open circle at 6. Draw a closed circle at 6. Shade all numbers less than 6. Shade all numbers greater than 6. Shade all numbers to the right of 6. Shade all numbers to the left of 6.

Answer 1

[✓] Draw an open circle at 6.

[✗] Draw a closed circle at 6.

[✓] Shade all numbers less than 6.

[✗] Shade all numbers greater than 6.

[✗] Shade all numbers to the right of 6.

[✓] Shade all numbers to the left of 6.

     Since this inequality is only less than ( < , > ) and not less than or equal to ( ≤ , ≥ ) you graph with an open circle.

     Because this inequality is x < 6, we want to graph all numbers there are less than 6, which corresponds to all numbers to the left of 6.

Answers:

[✓] Draw an open circle at 6.

[✓] Shade all numbers less than 6.

[✓] Shade all numbers to the left of 6.