Question

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

Answer 1

Given:

There are given that inequality:

$2x+19<33$

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:

$\begin{gathered} 2x<14 \\ \frac{2x}{2}<\frac{14}{2} \\ x<7 \end{gathered}$

Final answer:

Hence, the inequality notation is shown below:

$(-\infty,7)$

And,

The number line is shown below;