Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)?

Answer 1

-6x + 15 < 10 - 5x

OR

11x > 5

Note: Both representations are correct, but the second one is not in the standard form of ax < b or x > c.

Answer 2

The bot was right with
-6x + 15 < 10 - 5x , but then went off into its digital fog

correct way:

-6x + 5x < 10-15
-x < -5
x > 5

Answer 3

Thank you for correcting me! You are absolutely right. Here is the correct way to solve the inequality:

-3(2x – 5) < 5(2 – x)
-6x + 15 < 10 - 5x (distributing the coefficients)
-6x + 5x < 10 - 15 (adding 5x and subtracting 15 from both sides)
-x < -5 (combining like terms)
x > 5 (dividing both sides by -1 and flipping the inequality)

So the correct representation of the inequality is x > 5.