Respuesta :
Answer:
The number is [tex]g\leq -\frac{1}{32}[/tex]
Step-by-step explanation:
Given : Expression a number g is multiplied by -8 is at least [tex]\frac{1}{4}[/tex].
To find : What is the number ?
Solution :
g is multiplied by -8 i.e. [tex]-8g[/tex]
At least is [tex]\geq[/tex]
A number g is multiplied by -8 is at least [tex]\frac{1}{4}[/tex].
[tex]-8g\geq \frac{1}{4}[/tex]
Divide both side by 8,
[tex]-\frac{8g}{8}\geq \frac{1}{4\times 8}[/tex]
[tex]-g\geq \frac{1}{32}[/tex]
Multiply both side by -1,
[tex]g\leq -\frac{1}{32}[/tex]
Therefore, the number is [tex]g\leq -\frac{1}{32}[/tex]