Identify the mathematical expressions and represent them in interval notation.

Mathematical Expressions and Interval Notation:

• The first expression is \(x \le -3\). In interval notation, this is \((-\infty, -3]\).
• The second expression is represented on a number line. It shows a closed circle at -2 and shading to the left, indicating all numbers less than or equal to -2. In interval notation, this is \((-\infty, -2]\).
• The third line shows a closed circle at 4 and shading to the left. This indicates all numbers less than or equal to 4. In interval notation, this is \((-\infty, 4]\).
• The first interval given is \([-4, 5]\).
• The second interval given is \([-3, 6]\).
• The third interval given is \((-\infty, 5)\).
• The fourth interval given is \((1, \infty)\).

Summary of Intervals:

• \(x \le -3\) as \((-\infty, -3]\)
• Number line showing \(x \le -2\) as \((-\infty, -2]\)
• Number line showing \(x \le 4\) as \((-\infty, 4]\)
• \([-4, 5]\)
• \([-3, 6]\)
• \((-\infty, 5)\)
• \((1, \infty)\)