5. The absolute value of a number r is equal to the distance from 0 to z along a number line and is written as |r. For example, 8| = 8, -3| = 3, and |0| = 0. For how many pairs (a, b) of integers is |al + |b| < 10?
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- Find the interval notation and the graphGraph on the number line, and express in interval notation. The set of all real numbers between 1 and 2 including both - 1 and 2. Choose the correct graph below. O A. O C. ← -6 -6 -5 + -5 -4 -4 -3 -3 -2 -1 0 2 3 3 4 + 4 + 5 5 C 6 O B. O D. ← -6 ← -6 + -5 + -5 -4 + -4 -3 -3 -2 -2 -1 0 0 2 2 + 3 3 4 5 + 5 + 6What is the absolute value of a number a and what is it denoted by?
- Solve | 3-x| 2 5. A. The set of real numbers B. Ø OC. {x|x28 or xs-2} O D. {x|x>8 or x<-2} O E. {x|-2Solve |x+5| > 5. A. {x|x20 or x0 or x<-10} C. The set of real numbers D. Ø E. {x|-10If |y+5| < 1 , answer the following by true or false: a. - 6 <-y< -4 c. y<-4 c. 2 < -< -3 b. 4 <-y< 6 d. 01. Use inequality, graphical, and interval notation on the table that follows to write the set of numbers that are: a. between -5 and 6, not including the endpoints. b. less than 1.5. c. greater than or equal to -5. d. between -4 and 0, including the endpoints. e. including -3.5, but excluding 2.I need some help with this problem which involves the difference between three integersThank you.Recommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, IncorporatedNumerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill EducationIntroductory Mathematics for Engineering Applicat…Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEYMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Advanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, IncorporatedNumerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill EducationIntroductory Mathematics for Engineering Applicat…Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEYMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,