Question

Elect the possible solutions for the given inequality.

2x+ 5 < 3x – 10
A) 20
B) 10
C) 15
D) 5
E) 25

Answer 1

Upon solving the inequality 2x + 5 < 3x – 10, we find that x > 15. Checking the options against this solution, the possible solutions are options A) 20 and E) 25.

Step-by-step explanation:

The question requires us to solve the inequality 2x + 5 < 3x – 10 to find which of the given options are valid solutions. To solve the inequality, we can rearrange it by subtracting 2x from both sides and adding 10 to both sides resulting in x > 15. We then compare the options given with our solution to identify the correct one(s).

Let's test each option:

• Option A) 20: Is 20 > 15? Yes, so this is a possible solution.
• Option B) 10: Is 10 > 15? No, so this is not a valid solution.
• Option C) 15: Is 15 > 15? No, equality does not satisfy the 'greater than' sign, so this is not a valid solution.
• Option D) 5: Is 5 > 15? No, so this is not a valid solution.
• Option E) 25: Is 25 > 15? Yes, so this is a possible solution.

The possible solutions for this inequality are options A) 20 and E) 25.