Which answer is the solution to the inequality |x|<3?
A) x>-3 or x<3
B) x<-3 or x>3
C) x<-3 and x<3
D) x>-3 and x<3
I can't figure this one out :/ can someone explain
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Do you know about absolute values?
@compassionate I am learning about them right now, I seem to understand how to find a solution set of a compound inequality, but this question seems so hard and I don't understand how to get the correct answer.
Imagine a number line. And on that line we have points from 10 to -10.
Say I am being asked to graph |x| < 3
This is saying, all the numbers that are LESS THAN 3 away from 0 in either direct.
The number 1 will work, as will –1; the number 2 will work, as will –2. But 4 will not work, and neither will –4, because they are too far away. Even 3 and –3 won't work (though they're right on the edge). But 2.99 will work, as will –2.99. In other words, all the points between –3 and 3, but not actually including –3 or 3, will work in this inequality.
So which one do you think represents less than 3 and -3 but not actually 3 and -3
Not the answer you are looking for? Search for more explanations.
@compassionate it's the distance from the number line correct? So I think it's x<-3 or x>3 (B) that one also because it's "or" and when you graph them they aren't overlapping so it is an disjunction. I over thought it I guess