Question

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

Answer 1

Answer: Two correct representations of the inequality -3(2x - 5) < 5(2 - x) are:

-6x + 15 < 10 - 5x

-6x + 15 < -5x + 10

Both of the above are correct because they are equivalent to the original inequality.

Note that in order to get the above representation, I first applied distributive property on both sides of the inequality and then combined like terms on both sides.

Explanation: