Jayden scored more than 2/3 the number of points Kenneth scored. If Jayden scored 36 points, which inequality solution represents the number of points Kenneth could have scored

If Jayden scored 36 points, then the number of points Kenneth could have scored is represented by the inequality:

K > (2/3)J

Substituting J = 36,

K > (2/3)(36)

Simplifying,

K > 24

Let x be the number of points Kenneth scored.

According to the information given, Jayden scored more than 2/3 of the number of points Kenneth scored.

This can be represented as:

Jayden's score > 2/3 * Kenneth's score

Given that Jayden's score is 36 points, we can substitute this value into the inequality:

36 > 2/3 * x

To solve for x, we can multiply both sides of the inequality by 3/2 (the reciprocal of 2/3):

(3/2) * 36 > (3/2) * (2/3) * x

54 > x

Therefore, the inequality solution representing the number of points Kenneth could have scored is x > 54.