Given:
Given the inequalities:4
Required: Identify the inequality in which x = 8 is a solution.
Explanation:
Substitute 8 for x in each inequality and check whether it satisfies the inequality.
Consider 4x + 3 > 0.
So, x = 8 satisfies the inequality 4x + 3 > 0.
Consider 9x - 5 < 100.
So, x = 8 satisfies the inequality 9x - 5 < 100.
Consider x + 4 ≤ 10.
So, x = 8 not satisfies the inequality.
Consider 72 ÷ x ≥ 4.
So, x = 8 satisfies the inequality.
Final Answer: The inequality in which x = 8 is not a solution is x + 4 ≤ 10.
Answer: 25
Step-by-step explanation: -5 x 25 + 13 = -112
Answer: the player answered 30 questions correctly.
Step-by-step explanation:
Let x represent the number of questions that the player answered correctly.
Let y represent the number of questions that the player answered incorrectly.
The number of questions that the player answered is 40. It means that
x + y = 40- - - - - - - - - - -1
The score on the trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers. If the player obtained a score of 50, It means that
2x - y = 50
y = 2x - 50
Substituting y = 2x - 50 into equation 1, it becomes
x + 2x - 50 = 40
3x - 50 = 40
3x = 40 + 50 = 90
x = 90/3
x = 30
