Solution:
Given the inequality:
[tex]2x-8\ge22-4x[/tex]
To solve the above inequality,
step 1: Collect like terms.
Thus,
[tex]\begin{gathered} 2x+4x\ge22+8 \\ \Rightarrow6x\ge30 \end{gathered}[/tex]
step 2: Divide both sides by the coefficient of x.
The coefficient of x is 6.
Thus,
[tex]\begin{gathered} \frac{6x}{6}\ge\frac{30}{6} \\ \Rightarrow x\ge5 \end{gathered}[/tex]
Hence, we have the solution to the inequality to be
[tex]x\ge5[/tex]
The correct option is A
