Question

Which of the g-values satisfy the following inequality?

7 >_ 12 - 9
Choose all answers that apply:
A: g=4
B: g=5
C: g=6

Answer 1

B: g=5

C: g=6

Explanation:

Given

`7 \ge 12 - g`

Required

All possible values of g

We have:

`7 \ge 12 - g`

Collect like terms

`7 - 12\ge - g`

`-5\ge - g`

Divide both sides by -1 [The inequality changes because of negative division]

`5\le g`

Swap both terms

`g \ge 5`

This implies that g is greater than of equal to 5

i.e.

`g= \{5,6,7.....\}`

Hence:

(b) and (c) are correct