Write the following in interval notation.
$x\ge 0$

• A. $\(\left\)(-\(\infty\),0\(\right\))$
• B. $\(\left\[\lbrack\)0,\(\infty\]\right\))$
• C. $\(\left\)(0,\(\infty\)\(\right\))$
• D. $\(\left\)(-\(\infty\),0\(\right\)\(\rbrack\)$

Answer: (B)

Verified step by step guidance

1. Identify the inequality given: \(x \geq 0\). This means \(x\) is greater than or equal to zero.
2. Recall that interval notation expresses all values of \(x\) that satisfy the inequality as an interval on the number line.
3. Since \(x\) can be equal to zero and any number greater than zero, the interval starts at 0 and extends to positive infinity.
4. Use a square bracket \([\) at 0 to indicate that 0 is included in the interval (because of the 'greater than or equal to' sign).
5. Use a parenthesis \()\) at infinity because infinity is not a number and cannot be included, so the interval notation is \([0, \infty)\).