Question

For which inequality would x = 5 be a solution?x - 4 > 8x + 7 ≥ 128 x ≤ 25.445 ÷ x < 9

Answer 1

Given:

Given that the four inequalities.

And the solution.

`x=5`

Required:

To find which inequality would x = 5 be a solution.

Step-by-step explanation:

(1)

`\begin{gathered} x-4>8 \\ 5-4=1<8 \end{gathered}`

Therefore x=5 is not a solution.

(2)

`\begin{gathered} x+7\ge12 \\ 5+7=12 \\ 12\ge12 \end{gathered}`

Therefore, x=5 is a solution.

(3)

`\begin{gathered} 8x\leq25.4 \\ 8(5)=40 \\ 40>25.4 \end{gathered}`

Therefore, x=5 is not a solution.

(4)

`\begin{gathered} (45)/(x)<9 \\ (45)/(5)=9 \\ 9=9 \end{gathered}`

Therefore x=5 is not a solution.

Final Answer:

x=5 is as solution for the inequality,

`x+7\ge12`