Solve for x: 3x - 2 > 5x + 10.

x > 6

x < 6

x < - 6

x > - 6

x < - 6

Step-by-step explanation:

3x - 2 > 5x + 10

5x + 10 < 3x - 2

5x - 3x < - 2 - 10

2x < - 12

x < - 12/2

=> x < - 6

x < - 6

Step-by-step explanation:

In inequalities, the division by a negative number results in change of the sign. That is from less than to greater than and vice versa.

Therefore,

3x - 2 > 5x + 10.

= 3x - 5x > 2 + 10

= - 2x > 12

= x < - 6

The sign changes as defined above.