merryday27 merryday27
  • 02-05-2021
  • Mathematics
contestada

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

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 07-05-2021

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

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