Question

Write an inequality that describes this graph.

Answer 1

Y(less than or equal to)1

Answer 2

To find the inequality, we need to remember our rules about what makes inequalities from number lines.

If the "dot" (initial point) is hollow, it is simply a "<" or ">" symbol. If the "dot" is filled in, it means that it includes that number and we should use a "≤" or "≥" symbol. In this case, our "dot" is filled, so we will be using a "≤" or "≥" symbol.

The second rule we must recall is that the "arrow" (symbol) points the direction that the line will go. In this case, our line is going left, so our "arrow" should point left (≤).

Using all of the logic above, we would be able to see that x≤1.