Question

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

x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.

Answer 1

Third option

Explanation:

-3(2x - 5) < 5(2 - x)

-6x + 15 < 10 - 5x <-- Third option

15 < 10 + x

5 < x

x > 5

There only appears to be one option. The solution to the inequality is x>5, not x<5.