Question

solve this inequality:

2(k + 4) < 3 (2k - 4)

Answer 1

\[\large{2(k + 4) < 3 (2k - 4)}\]\[\large{2k + 8 < 6k - 12}\]Subtract both sides by 2k.\[\large{8 < 6k - 2k - 12}\]\[\large{8 < 4k - 12}\]Add both sides by 12.\[\large{8 +12 < 4k}\]\[\large{20 < 4k}\]Finally, divide both sides by 4. \[\large{\frac{20}{4} < k}\]\[\boxed{\large{5 < k}}\]Did I clear everything?