Question

Solve 2x 16 ≥ 32 - 6x.
-
A. xs-12
B. x≤ 6
C. x≥ 6
O D. xz-12

Answer 1

• 
  `\mathrm{C.\;x\ge \:6}`

Explanation:

`\mathrm{2x-16\ge \:32-6x}`

Add 16 to both sides:-

• 
  `\mathrm{2x-16+16\ge \:32-6x+16}`

• 
  `\mathrm{2x\ge \:-6x+48}`

Add 6x to both sides:-

• 
  `\mathrm{2x+6x\ge \:-6x+48+6x}`

• 
  `\mathrm{8x\ge \:48}`

Divide both sides by 8:-

• 
  `\mathrm{\cfrac{8x}{8}\ge \cfrac{48}{8}}`

• 
  `\mathrm{x\ge \:6}`

_______________________

Hope this helps!