Question

Mara scored fewer than 20 points in a basketball game. One of her baskets was a 2-point shot, and she also scored x number of 3-point shots. Write your answer as an inequality to represent the possible solution of the number of 3-point shots Mara made. Use x as your variable in your answer. Do not include any spaces in your answer.

a) x < 6
b) x > 6
c) x ≤ 6
d) x ≥ 6

Answer 1

To represent the number of 3-point shots Mara made, we can write the inequality: 2 + 3x < 20. Simplifying, we find that x < 6.

Step-by-step explanation:

To represent the possible solution of the number of 3-point shots Mara made, we can write an inequality. Mara scored fewer than 20 points, including a 2-point shot. Let's use x as the variable to represent the number of 3-point shots Mara made. Since each 3-point shot adds 3 points to her score, the inequality would be: 2 + 3x < 20.

To solve this inequality, we can subtract 2 from both sides: 3x < 18.

Finally, we divide both sides by 3 to solve for x: x < 6.

Therefore, the correct answer is x < 6 (option a).