Question

1.4a - notation for intervals
score: 4/11 4/11 answered
question 5
graph the inequality on the numberline and then write it in interval notation.
x < 5
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
clear all draw:

Explanation:

Step1: Graph the inequality

On the number line, place an open circle at $x=5$ (since $x$ is strictly less than 5, not equal to it), then draw an arrow pointing left from this circle to represent all values less than 5.

Step2: Write interval notation

The inequality $x < 5$ includes all real numbers from negative infinity up to but not including 5. In interval notation, negative infinity is written as $-\infty$, and we use parentheses for non-inclusive endpoints.

Answer:

Graph: Open circle at 5, arrow pointing left.
Interval notation: $(-\infty, 5)$