Download presentation

Published byBryanna Battle Modified over 3 years ago

1
**Do Now: Solve, graph, and write your answer in interval notation.**

CAUTION… you must THINK through your final answer!!! 1) a + 2 > -2 or a – 8 > 1 2) b – 3 > 2 and b + 3 < 4

2
**Solving Absolute Value Inequalities**

Section: 1-6 Page 40 in your textbook

3
**Solving an Absolute Value Inequality**

Step 1: Rewrite the inequality as a conjunction or a disjunction. If you have a you are working with a conjunction or an ‘and’ statement. Remember: “Less thand” If you have a you are working with a disjunction or an ‘or’ statement. Remember: “Greator” Step 2: In the second equation you must negate the right hand side and reverse the direction of the inequality sign. Step 3: Solve as a compound inequality.

4
**Example 1: |2x + 1| > 7 2x + 1 > 7 or 2x + 1 >7**

This is an ‘or’ statement. (Greator). Rewrite. In the 2nd inequality, reverse the inequality sign and negate the right side value. Solve each inequality. Graph the solution. Write the solution in interval notation. |2x + 1| > 7 2x + 1 > 7 or 2x + 1 >7 2x + 1 >7 or 2x + 1 <-7 x > 3 or x < -4 (-inf., -4) U (3, +inf.) 3 -4

5
**Example 2: |x -5|< 3 x -5< 3 and x -5< 3**

This is an ‘and’ statement. (Less thand). Rewrite. In the 2nd inequality, reverse the inequality sign and negate the right side value. Solve each inequality. Graph the solution. Write the solution in interval notation. |x -5|< 3 x -5< 3 and x -5< 3 x -5< 3 and x -5> -3 x < 8 and x > 2 (2, 8) 8 2

6
**Example 3: |x |≥ -2 This is an ‘or’ statement. (Greator). Rewrite.**

x ≥ -2 or x ≤ 2 Solution: All Real Numbers ( -inf., +inf.) This is an ‘or’ statement. (Greator). Rewrite. In the 2nd inequality, reverse the inequality sign and negate the right side value. Solve each inequality. Graph the solution. Write the solution in interval notation.

7
**Example 4: |2x| < -4 2x < -4 and 2x > 4**

NO SOLUTION!! This is an ‘and’ statement. (Less thand). Rewrite. In the 2nd inequality, reverse the inequality sign and negate the right side value. Solve each inequality. Graph the solution. Write the solution in interval notation.

8
**1) |y – 3| > 1 2) |p + 2| < 6 3) | g | - 2 < -4**

Solve and Graph 1) |y – 3| > 1 2) |p + 2| < 6 3) | g | - 2 < -4

Similar presentations

OK

2-8 Solving Absolute-Value Equations and Inequalities Warm Up

2-8 Solving Absolute-Value Equations and Inequalities Warm Up

© 2018 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google

Ppt on earth and universe Ppt on credit policy document Ppt on hepatitis b vaccine Ppt on amplitude shift keying block Ppt on polynomials and coordinate geometry pictures Free ppt on agriculture in india Convert pdf to word ppt online Ppt on event handling in javascript output Ppt on accounting standard 13 Ppt on astronomy and astrophysics review