Question

Solve 2x-8 ≥22 - 4xO A. x≥ 5OB. x≤ 5OC. xs-15OD. x≥-15

Answer 1

Given the inequality:

`2x-8\ge22-4x`

To solve the above inequality,

step 1: Collect like terms.

Thus,

`\begin{gathered} 2x+4x\ge22+8 \\ \Rightarrow6x\ge30 \end{gathered}`

step 2: Divide both sides by the coefficient of x.

The coefficient of x is 6.

Thus,

`\begin{gathered} (6x)/(6)\ge(30)/(6) \\ \Rightarrow x\ge5 \end{gathered}`

Hence, we have the solution to the inequality to be

`x\ge5`

The correct option is A