Question

translate the following into an inequality, graph it on the real number line, and write it using interval notation. i really want to work less than 8 hours per day at my next job. inequality: x?□ graph: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 clear all draw: interval notation: question help: message instructor submit question jump to answer

Explanation:

Step1: Define the variable

Let $x$ be the number of hours worked per day.

Step2: Write the inequality

Since the person wants to work less than 8 hours per day, the inequality is $x < 8$.

Step3: Graph the inequality

On the real - number line, we use an open circle at 8 (because 8 is not included in the solution set) and draw an arrow to the left to represent all numbers less than 8.

Step4: Write in interval notation

The interval notation for $x < 8$ is $(-\infty, 8)$.

Answer:

Inequality: $x < 8$
Graph: Use an open circle at 8 and draw an arrow to the left on the real - number line.
Interval Notation: $(-\infty, 8)$