Math  /  Algebra

QuestionExpress the interval x2x \leq -2 or x0x \geq 0 in interval notation and on a number line.

Studdy Solution
Now, let's express the given expression on a number line.For x2x \leq -2, we draw a solid dot at -2 and draw a line extending to the left, indicating all numbers less than or equal to -2.
For x0x \geq0, we draw a solid dot at0 and draw a line extending to the right, indicating all numbers greater than or equal to0.
The number line representation for the given expression is a line extending to the left from -2 and a line extending to the right from0, with solid dots at -2 and0.
The solution is the interval notation (,2][0,)(-\infty, -2] \cup [0, \infty) and the number line representation with a line extending to the left from -2 and a line extending to the right from0, with solid dots at -2 and0.

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