Question

Which one of the following graphs represents the solution of the inequality -3x+1 ≤ 10?OA -4-3-2-1 0 1234OB++OD.-4-3-2-1 0 1234-4-3-2-1 0 1234-4-3-2-1 0 1234

Answer 1

The Solution:

Given:

`-3x+1≤10`

Required:

To graph the solution of the given inequality.

Below is the cartesian graph of the inequality:

Solving the inequality, we get:

`\begin{gathered} -3x+1≤10 \\ -3x\leq10-1 \\ \\ -3x\leq9 \end{gathered}`

Divide both sides by -3

`\begin{gathered} x\ge(9)/(-3) \\ \\ x\ge-3 \end{gathered}`

The number line is: