Answer:
B: g=5
C: g=6
Step-by-step explanation:
Given
[tex]7 \ge 12 - g[/tex]
Required
All possible values of g
We have:
[tex]7 \ge 12 - g[/tex]
Collect like terms
[tex]7 - 12\ge - g[/tex]
[tex]-5\ge - g[/tex]
Divide both sides by -1 [The inequality changes because of negative division]
[tex]5\le g[/tex]
Swap both terms
[tex]g \ge 5[/tex]
This implies that g is greater than of equal to 5
i.e.
[tex]g= \{5,6,7.....\}[/tex]
Hence:
(b) and (c) are correct