Question

Solve for c: 2(4c-7) is greater than or equal to 8(c-3)

Answer 1

$2(4c-7)\geq8(c-3)\ \ \ \ |\text{use distributive property}\\\\(2)(4c)-(2)(7)\geq(8)(c)-(8)(3)\\\\8c-14\geq8c-24\ \ \ \ |-8c\\\\-14\geq-24\ \ \ TRUE\\\\\text{therefore your answer is}\ x\in\mathbb{R}\ (all\ real\ numbers)$