Question

Solve inequality and graph solution on number line, 10th grade

Answer 1

Given:

There are given that inequality:

`2x+19<33`

Step-by-step explanation:

To find the value x, we need to use the given inequality:

So,

Subtract 19 from both sides of the above inequality:

`\begin{gathered} 2x+19\lt33 \\ 2x+19-19<33-19 \\ 2x<14 \end{gathered}`

Then,

Divide by 2 on both sides of the above equation:

`\begin{gathered} 2x<14 \\ (2x)/(2)<(14)/(2) \\ x<7 \end{gathered}`

Final answer:

Hence, the inequality notation is shown below:

`(-\infty,7)`

And,

The number line is shown below;