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Graph each set of numbers given in interval notation. Then write an inequality statement in $x$ describing the numbers graphed.

$$

(-\infty, 4]

$$

$x \leq 4$

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Campbell University

Oregon State University

Harvey Mudd College

Numerade Educator

all right for our problem here. I'm going to create a number line where four really is the highest number or the greatest number on, and I notice that I'm going to be reaching toward are moving toward negative infinity. So that tells me I'm gonna be going to the left on my number line s all just label a few of these here. So because I have a bracket here, right by the four, that means I need to include a bracket right on the four on the number line. And I'm going to shade everything towards negative infinity. So everything to the left. And if I rate that as an inequality for ex, all of my ex values have to be less than or equal to four. And I use that or equal to line underneath the less than symbol because of this bracket that tells me it's going to include for in its solution set