Join our free STEM summer bootcamps taught by experts. Space is limited.Register Here 🏕

Like

Report

Numerade Educator

Like

Report

Problem 4 Easy Difficulty

Graph each set of numbers given in interval notation. Then write an inequality statement in $x$ describing the numbers graphed.
$$
(-\infty, 4]
$$

Answer

$x \leq 4$

Discussion

You must be signed in to discuss.
Top Algebra Educators
Anna Marie V.

Campbell University

Heather Z.

Oregon State University

Kayleah T.

Harvey Mudd College

MG
Maria G.

Numerade Educator

Video Transcript

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

University of Wisconsin - Milwaukee
Top Algebra Educators
Anna Marie V.

Campbell University

Heather Z.

Oregon State University

Kayleah T.

Harvey Mudd College

MG
Maria G.

Numerade Educator