Question

Write each set-builder notation using interval notation. Graph the inequality.

a. {x∣−1b.{x∣−2≤x≤5}
c. {x∣x≥4}

Answer 1

In interval notation, the set-builder notations {x∣−1≤x}, {x∣-2≤x≤5}, and {x∣x≥4} can be written as [-1, infinity), [-2, 5], and [4, infinity), respectively.

Step-by-step explanation:

a. The set-builder notation {x∣−1≤x} can be written in interval notation as [-1, infinity). Graphing this inequality would result in a ray extending from -1 to positive infinity on the number line.

b. The set-builder notation {x∣-2≤x≤5} can be written in interval notation as [-2, 5]. Graphing this inequality would result in a closed interval between -2 and 5 on the number line.

c. The set-builder notation {x∣x≥4} can be written in interval notation as [4, infinity). Graphing this inequality would result in a ray extending from 4 to positive infinity on the number line.