The solution to the inequality, 1 > x/6, is expressed as x < 6 and its graph is shown below.
How to find the solution to an inequality?
Let's solve and graph the inequality 1 > x/6:
Part A: Solve the inequality
Multiply both sides of the inequality by 6 to get rid of the denominator:
6 * 1 > 6 * x/6
6 > x
So, the solution to the inequality is x < 6.
Part B:
The interval represented by the inequality is all real numbers less than 6. The open circle indicates that 6 is not included in the solution set, and the arrow to the left shows that the values continue indefinitely in that direction (see graph below.
Complete Question:
This question has two parts. First, answer Part A. Then, answer Part B. Part A Consider the inequality 1>x/6 . Solve the inequality. Part B Graph the solution set on the number line.