Question

Consider the equation

3 (4x – 2) + 6 = 5 (2x – 8) + 2
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(Solve for x first!!)
Below are two truths and one lie:
>
1. x is a negative number
2. 3x>2x
3. x+5>x

Answer 1

-19

Explanation:

12x - 6 + 6 = 10x - 40 + 2

12x - 10x = -40 + 2 + 6 -6

2x = -38

x = -38/2 = -19

The two truths are:

x is a negative number (x = -19)

x+5>x (if x is positive, is true; if x is negative, is also true)

The one lie is:

3x > 2x (if x is negative, the expression will be 3x < 2x)