Question

Solve the inequality and describe the graph of the solution.
`4x - 5 \geqslant 7`

Answer 1

The given expression is :

`4x-5\ge7`

To simplify the expression for x :

Add 5 on both side :

`\begin{gathered} 4x-5+5\ge7+5 \\ 4x\ge12 \end{gathered}`

Divide the expression by 4 on both side :

`\begin{gathered} 4x\ge12 \\ (4x)/(4)\ge(12)/(4) \\ x\ge3 \end{gathered}`

Thus : x ≥ 3

The graph is :

Since x is greater than or equal to 3

So, it is closed on 3

Answer :

The graph has a closed circle on 3 and is shaded to the right of the origin