Solve this inequality and graph the solution on a number line. Explain what

your solution means in terms of the situation.

≤ 100

1 answer

To solve the inequality ≤ 100, we start by subtracting 100 from both sides:

x ≤ 100 - 100

This simplifies to:

x ≤ 0

The solution to this inequality is x being any real number less than or equal to 0.

On a number line, we can represent this solution by shading all the points to the left of or including 0. The circle is filled to indicate that 0 is included in the solution.

In terms of the situation, this inequality represents any values that are less than or equal to 100. It could be used to represent limits, such as a maximum value for a variable or measurement. For example, if it represents the maximum speed limit on a road, any speed less than or equal to 100 would be allowed.