Question

The value of 3 times the quantity of 4 + x is greater than 6 less than x.

Which inequality represents this situation?
A
3(4+x)>6−x

B
3⋅4+x≥x−6

C
3(4+x)>x−6

D
3⋅4+x≥6−x

Answer 1

`\\ \sf\longmapsto 3(4+x)\gt x-6`

`\\ \sf\longmapsto 12+3x\gt x-6`

`\\ \sf\longmapsto 12+6\gt x-3x`

`\\ \sf\longmapsto 18\gt -2x`

`\\ \sf\longmapsto x\lt(18)/(-2)`

`\\ \sf\longmapsto x\lt -9`

Answer 2

Explanation:

`here \: 3(4 + x) > x -6\\ 3 * 4 + 3x > x-6 \\ 12 + 3x > x-6 \\ 2x >- 6-12 \\ x = ( - 18)/(2) \\ x > - 9\\ option \: (c)is \: ur \: answer \\ thank \: you`