Question

Write the inequality using interval notation and illustrate the inequality using the real number line

1 less than or equals x less than 3

Choose the correct interval notation below that represents the inequality.

Answer 1

    1 ≤ 3 - x

x + 1 ≤ 3        added x to both sides

     x ≤ 2        subtracted 1 from both sides

Number line: ←----------------------·2    (fill in the dot at 2 since it is "equal to")

Interval Notation: (-∞, 2]