Question

Which of the following inequalities isx > 4a solution?

Answer 1

Step 1: Solve the three inequalities in the options

A:

`\begin{gathered} x+3\ge1 \\ \text{ Subtracting 3 from both sides we have} \\ x+3-3\ge1-3 \\ \text{this implies that} \\ x\ge-2 \end{gathered}`

B:

`\begin{gathered} 3x\ge1 \\ \text{ Dividing both sides by 3} \\ (3x)/(3)\ge(1)/(3) \\ x\ge(1)/(3) \end{gathered}`

C:

`\begin{gathered} x-3\ge1 \\ \text{Adding 3 to both sides we have} \\ x-3+3\ge1+3 \\ x\ge4 \end{gathered}`

Step 2:

`\text{ Pick an option whose solution is }x\ge4`
`\text{Option C is the only inequality whose solution is }x\ge4`

Hence, the right choice is C