Download presentation

1
**Solving Two-Step Inequalities**

Designed by Skip Tyler, Varina High School

2
**Solving an inequality is similar to solving an equation, with one main difference.**

If you divide the inequality by a negative number, you switch the direction of the symbol.

3
**1) Solve 5m - 8 > 12 + 8 + 8 5m > 20 5 5 m > 4 5(4) – 8 = 12**

5m > 20 m > 4 5(4) – 8 = 12 Draw “the river” Add 8 to both sides Simplify Divide both sides by 5 Check your answer Graph the solution o 4 5 3

4
**2) Solve 12 - 3a > 18 - 12 - 12 -3a > 6 -3 -3 a < -2**

-3a > 6 a < -2 12 - 3(-2) = 18 Draw “the river” Subtract 12 from both sides Simplify Divide both sides by -3 Simplify (Switch the inequality!) Check your answer Graph the solution o -2 -1 -3

5
**Which graph shows the solution to 2x - 10 ≥ 4?**

. Answer Now

6
**3) Solve 5m - 4 < 2m + 11 o -2m -2m 3m - 4 < 11 + 4 + 4**

3m < 15 m < 5 5(5) – 4 = 2(5) + 11 Draw “the river” Subtract 2m from both sides Simplify Add 4 to both sides Divide both sides by 3 Check your answer Graph the solution o 5 6 4

7
**4) Solve 2r - 18 ≤ 5r + 3 ● -2r -2r -18 ≤ 3r + 3 - 3 - 3 -21 ≤ 3r 3 3**

-21 ≤ 3r -7 ≤ r or r ≥ -7 2(-7) – 18 = 5(-7) + 3 Draw “the river” Subtract 2r from both sides Simplify Subtract 3 from both sides Divide both sides by 3 Check your answer Graph the solution ● -7 -6 -8

8
6) Solve -2x + 6 ≥ 3x - 4 x ≥ -2 x ≤ -2 x ≥ 2 x ≤ 2 Answer Now

9
**5) Solve 26p - 20 > 14p + 64 o -14p -14p 12p – 20 > 64 + 20 + 20**

12p > 84 p > 7 26(7) – 20 = 14(7) + 64 Draw “the river” Subtract 14p from both sides Simplify Add 20 to both sides Divide both sides by 12 Check your answer Graph the solution o 7 8 6

10
**What are the values of x if 3(x + 4) - 5(x - 1) < 5?**

Answer Now

Similar presentations

© 2019 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