Find numbers within 10 units of 7.
We know that 10 units less than 7 is –3, and 10 units greater than 7 is 17.
So, the given solution includes all real numbers between 3 and 17, both included.
An inequality that represents all real numbers between 3 and 17 is
Rewrite the inequalities using two numbers whose sum is 17 and difference is 3.
To define an absolute value notation, first rewrite the inequalities using two numbers whose sum is 17 and difference is –3.
7 – 10
7 + 10.
Subtract 7 from each part.
Next, subtract 7 from each part.
All values of
that lie between –
are the solutions of |
So, the absolute value notation to define the interval is
– 7 |
Names of standardized tests are owned by the trademark holders and are not affiliated with Varsity Tutors LLC.
4.9/5.0 Satisfaction Rating over the last 100,000 sessions. As of 4/27/18.
*See complete details for Better Score Guarantee.
Media outlet trademarks are owned by the respective media outlets and are not affiliated with Varsity Tutors.
Award-Winning claim based on CBS Local and Houston Press awards.
Varsity Tutors does not have affiliation with universities mentioned on its website.
Varsity Tutors connects learners with experts. Instructors are independent contractors who tailor their services to each client, using their own style,
methods and materials.