text: 'now it's your turn!'

Use the graph shown below to solve √3x + 3 < 3

Click on the blank to see the answer.

What are the two functions shown on the graph? Interactive button. Assistance may be required. __________ 3x + 3 and Interactive button. Assistance may be required. __________ y = 3

Where do these two graphs intersect? Interactive button. Assistance may be required. __________ (2, 3)

What is the x-coordinate of the point of intersection? Interactive button. Assistance may be required. __________ x = 2

Is this point included in the solution? Interactive button. Assistance may be required. __________ No

Why or why not? Interactive button. Assistance may be required. __________ Because the inequality is <. The point would be included if it was ≤.

Do you want the part of the square root curve that lies above or below the line y = 3? Interactive button. Assistance may be required. __________ Below

Why? Interactive button. Assistance may be required. __________ Because the inequality symbol is <, so you want the part that is below.

Does the solution include x’s, y’s, or both? Interactive button. Assistance may be required. __________ Only x's

Why? Interactive button. Assistance may be required. __________ Because the original inequality only has x’s.

What is the solution to the inequality? Interactive button. Assistance may be required. __________ -1 < x < 2

What would the solution be if the inequality was changed to √3x + 3 ≥ 3? Interactive button. Assistance may be required. __________ x ≥ 2