Question

Is the inequality always, sometimes, or never true?

4x - 8 < 4(x - 4)

Answer 1

Solve for x to get


4x - 8 < 4(x - 4)


4x - 8 < 4*x + 4*(-4)


4x - 8 < 4x - 16


4x - 8 - 4x < 4x - 16 - 4x


0x - 8 < 0x - 16


-8 < -16


Since this last inequality is always false, this means that the original inequality is never true.

Answer 2

Awesome! thank you for explaining

Answer 3

sure thing