Questions: Graph the inequality. Then write the solution set in interval notation.
0 ≤ x<5
Choose the correct answer below.
Write the solution in interval notation.
[0,5)
Transcript text: Graph the inequality. Then write the solution set in interval notation.
\[
0 \leq x<5
\]
Choose the correct answer below.
Write the solution in interval notation.
[0,5) (Type your answer in interval notation.)
Solution
Solution Steps
Step 1: Analyze the inequality
The inequality is given as \(0 \le x < 5\). This means that _x_ is greater than or equal to 0, and _x_ is less than 5.
Step 2: Choose the correct graph
The graph should start with a closed circle at 0 (because _x_ can be equal to 0) and end with an open circle at 5 (because _x_ cannot be equal to 5). The line connecting these circles represents all the numbers between 0 and 5. The correct graph is A.
Step 3: Write the solution in interval notation
Interval notation uses brackets "[" or "]" to include endpoints, and parentheses "(" or ")" to exclude endpoints. Since 0 is included and 5 is excluded, the interval notation is \([0, 5)\).
Final Answer
The correct graph is A, and the interval notation is \(\boxed{[0, 5)}\).