I can't solve it
asked Jul 5 in Algebra 1 Answers by anonymous

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

We need to manipulate the inequality so as to get just x in the middle instead of 2x+1.

So let’s subtract 1 from each term: -4<2x<4.

Now divide through by 2: -2<x<2.

That is the answer: x lies between -2 and 2.

A quick check will prove if this is right. Pick a value of x between the limits, say x=0. Put this in the original inequality: -3<1<5. Yes, that’s true, 1 does lie between -3 and 5, half way in fact.

Now let’s pick a value on the limit. We expect this to fail because we have <, not ≤. Pick x=2. The inequality -3<5<5 is not true because 5=5 not 5<5. The same applies if x=-2, when we get -3<-3, which isn’t true. So the answer -2<x<2 is correct.

answered Jul 6 by Rod Top Rated User (588,020 points)

Related questions

1 answer
1 answer
asked May 7 in Other Math Topics by Mariaescareno1985 (140 points) | 18 views
1 answer
asked Apr 30 in Word Problem Answers by Valencia Hernandez | 21 views
1 answer
asked Sep 6, 2017 in Word Problem Answers by anonymous | 32 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
81,751 questions
86,043 answers
2,210 comments
69,515 users