Question: 1) Plot the inequality on the given number line. Toggle the “Dot” or “Open Dot” button to place the…

1. Plot the inequality on the given number line. Toggle the “Dot” or “Open Dot” button to place the correct dot on your line before you submit your answer.

\[ x > 5 \]

\[ \begin{array}{c|cccccccccccc} -10 & -9 & -8 & -7 & -6 & -5 & -4 & -3 & -2 & -1 & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\ \hline & & & & & & & & & & & & & & & & & & & & \\ \end{array} \]

Clear All Draw: \(\leftarrow\) \(\bullet\) \(\diamond\)

2. Write the inequality using interval notation. Use “oo” (two lower case o’s) for \(\infty\).

\[ \boxed{\quad} \]

Solution

1. To plot the inequality \( x > 5 \) on a number line, place an open dot at 5 and draw a line extending to the right, indicating all numbers greater than 5. 2) Writing the inequality in interval notation: Identify the starting point, which is not included. So, we use a parenthesis: \( (5 \) Identify the endpoint. Since there is no endpoint for numbers greater than 5, use infinity: \( \infty \) Combine these to form the interval notation: \( (5, \infty) \)