Question

Solve the inequality -5x+3>18 and write the solution using: Interval Notation: Graph the solution below:

Answer 1

Step 1

Given;

`-5x+3\ge18`

Required; To write the solution using interval notation.

Step 2

`\begin{gathered} -5x+3-3\ge \:18-3 \\ -5x\ge \:15 \\ \left(-5x\right)\left(-1\right)\le \:15\left(-1\right) \end{gathered}`
`\begin{gathered} 5x\le \:-15 \\ (5x)/(5)\le (-15)/(5) \\ x\le \:-3 \end{gathered}`

In interval notation;

`(-\infty \:,\:-3]`

Step 3

Graph the solution below:

Answer;

`(-\infty,-3]---\text{ Interval notation}`