Question

Choose true or false for each statement about the solution of X/4 + 25/4 >15/2

A.The solution are all less than 5
B. The solution are all greater than 5
C.The solution set includes -6
D. The solution set includes 12

Answer 1

The correct answer is option B. The solution set includes all values greater than 5.The statements that the solutions are greater than 5 and include 12 are true.

Step-by-step explanation:

The correct answer to the inequality X/4 + 25/4 > 15/2 involves solving for X. Let's solve the inequality step by step:

1. Multiply each term by 4 to eliminate the denominators: X + 25 > 30.
2. Subtract 25 from both sides to isolate X: X > 5.

Now let's analyze the statements given:

• The solutions are all less than 5 - False, because from X > 5, the solutions are all greater than 5.
• The solutions are all greater than 5 - True, as per the inequality X > 5.
• The solution set includes -6 - False, because -6 is not greater than 5.
• The solution set includes 12 - True, because 12 is greater than 5.