Question

Solve the inequalities for real x for the following equation: 2( 2x+3) - 10 < 6 (x - 2 )

Answer 1

2( 2x + 3) - 10 < 6 (x - 2 )

Distribute 2 and 6:

4x + 6 - 10 < 6x - 12

Combine like terms:

4x - 4 < 6x - 12

Subtract 6x and add 4 to both sides:

4x - 6x < -12 + 4

Combine like terms:

-2x < -8

Divide both sides by -2:

x > 4