Solution:
Given the inequality:
[tex]0.08x+1.1\ge0.04x+0.1[/tex]
To solve the inequality,
step 1: Subtract 0.04x from both sides of the inequality.
Thus, we have
[tex]\begin{gathered} 0.08x-0.04x+1.1\ge0.04x-0.04x+0.1 \\ \Rightarrow0.04x+1.1\ge0.1 \end{gathered}[/tex]
step 2: Subtract 1.1 from both sides of the inequality.
Thus, we have
[tex]\begin{gathered} 0.04x+1.1-1.1\ge0.1-1.1 \\ \Rightarrow0.04x\ge-1 \end{gathered}[/tex]
step 3: Divide both sides of the inequality by the coefficient of x.
The coefficient of x is 0.04.
Thus, we have
[tex]\begin{gathered} \frac{0.04x}{0.04}\ge\frac{-1}{0.04} \\ \Rightarrow x\ge-25 \end{gathered}[/tex]
Hence, in interval notation, we have
[tex]\:[-25,\:\infty \:)[/tex]
The graph of the solution is thus:
