To win a trivia game you need atleast 60 points. Each question is worth 4 points. So far , you have earned 24 points.

Write and solve an inequality that represents the number of questions you need to answer correctly to win a game.

60 - 24 = 36 points needed

36/4 = 9 questions needed right
so
n >/= 9

To write an inequality that represents the number of questions you need to answer correctly to win a game, let's denote the number of questions you need to answer correctly as "x".

Given that each question is worth 4 points, we can calculate the total points earned by multiplying the number of correct answers by 4. So, the inequality that represents the total points earned is:

Total points earned = 4x

Since you already have 24 points, the total points earned should be greater than or equal to 60 to win the game:

4x + 24 ≥ 60

To solve this inequality, we'll begin by subtracting 24 from both sides:

4x + 24 - 24 ≥ 60 - 24
4x ≥ 36

Next, we divide both sides of the inequality by 4:

(4x)/4 ≥ 36/4
x ≥ 9

Therefore, to win the game, you need to answer at least 9 questions correctly.