1 / 7

Decide if an equation has no solutions

Learn how to solve absolute deviation equations step by step with examples. Practice solving equations with absolute values to find solutions. Understand the concept of minimum and maximum acceptable values.

weldong
Download Presentation

Decide if an equation has no solutions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Solve 3x + 5 + 6 = –2, if possible. 3x+5+6= –2 3x+5= –8 ANSWER The absolute value of a number is never negative. So, there are no solutions. EXAMPLE 4 Decide if an equation has no solutions Write original equation. Subtract 6 from each side.

  2. EXAMPLE 5 Use absolute deviation BASKETBALLS Before the start of a professional basketball game, a basketball must be inflated to an air pressure of 8 pounds per square inch (psi) with an absolute error of 0.5 psi. (Absolute error is the absolute deviation of a measured value from an accepted value.) Find the minimum and maximum acceptable air pressures for the basketball.

  3. 0.5 = p – 8 EXAMPLE 5 Use absolute deviation SOLUTION Let pbe the air pressure (in psi) of a basketball. Write a verbal model. Then write and solve an absolute value equation.

  4. or p p p 8.5 = 8 8 or – – p 0.5 = –0.5 = 7.5 = p – 8 0.5 = ANSWER The minimum and maximum acceptable pressures are 7.5 psi and 8.5 psi. EXAMPLE 5 Use absolute deviation Write original equation. Rewrite as two equations. Add 8 to each side.

  5. 5. 2 m – 5 + 4 = 2 no solution ANSWER for Examples 4 and 5 GUIDED PRACTICE Solve the equation, if possible

  6. 6. –3 n +2 –7 = –10 ANSWER 1, 3 for Examples 4 and 5 GUIDED PRACTICE Solve the equation, if possible

  7. ANSWER 12.8,2.4 for Examples 4 and 5 GUIDED PRACTICE 7. The absolute deviation of x from 7.6 is 5.2. What are the values of x that satisfy this requirement?

More Related