Given:
Given that the four inequalities.
And the solution.
[tex]x=5[/tex]Required:
To find which inequality would x = 5 be a solution.
Explanation:
(1)
[tex]\begin{gathered} x-4>8 \\ 5-4=1<8 \end{gathered}[/tex]Therefore x=5 is not a solution.
(2)
[tex]\begin{gathered} x+7\ge12 \\ 5+7=12 \\ 12\ge12 \end{gathered}[/tex]Therefore, x=5 is a solution.
(3)
[tex]\begin{gathered} 8x\leq25.4 \\ 8(5)=40 \\ 40>25.4 \end{gathered}[/tex]Therefore, x=5 is not a solution.
(4)
[tex]\begin{gathered} \frac{45}{x}<9 \\ \frac{45}{5}=9 \\ 9=9 \end{gathered}[/tex]Therefore x=5 is not a solution.
Final Answer:
x=5 is as solution for the inequality,
[tex]x+7\ge12[/tex]