Unit 3 Expressions & Equations Interactive Notebook

Created By: Math in Demand

Solving & Graphing Two-Step

Inequalities

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Math in Demand with

Expressions & Equations (Solving and Graphing Two-Step

Inequalities)

1.) 4x – 1 ≥ -17

2.) 5 – 9x < -13

Graph

Graph

0 -4 -6 2 4 6 -2

3.) 8 > -12 + 5x

Graph

Two-step inequalities are solved just like two-step equations. The only difference is that there is an

inequality sign. Solve them the same way but don’t forget to think about what the inequality means!

I can ___________________

_______________________

Recap: How do I “get rid”

of a fraction?

©2017 Math in Demand

0 -4 -6 2 4 6 -2

0 -4 -6 2 4 6 -2

Expressions & Equations (Solving and Graphing Two-Step

Inequalities)

Reflection: I learned…

1.) 5x – 3> -18

2.) -2x – 7 ≤ 15

3.) 10 < 28 – 3b

Graph

Graph

Graph

0 -8 -12 4 8 12 -4

-8 -12 -14 -6 -4 -2 -10

0 -8 -12 4 8 12 -4

On a rating of 1-5, how comfortable are you with this concept?

(5 is the highest)

1 2 3 4 5

©2017 Math in Demand

Expressions & Equations (Solving and Graphing Two-Step

Inequalities)

1.) 4x – 1 ≥ -17

2.) 5 – 9x < -13

Graph

Graph

0 -4 -6 2 4 6 -2

3.) 8 > -12 + 5x

Graph

Two-step inequalities are solved just like two-step equations. The only difference is that there is an

inequality sign. Solve them the same way but don’t forget to think about what the inequality means!

I can ___________________

_______________________

Recap: How do I “get rid”

of a fraction?

©2017 Math in Demand

0 -4 -6 2 4 6 -2

0 -4 -6 2 4 6 -2

solve and graph two-step

inequalities with one variable.

+1 +1 4x > -16 4 4

-5 -5 -9x < -18 -9 -9

x ≥ -4

x > 2

+12 +12 20 > 5x 5 5

x < 4

Expressions & Equations (Solving and Graphing Two-Step

Inequalities)

Reflection: I learned…

1.) 5x – 3> -18

2.) -2x – 7 ≤ 15

3.) 10 < 28 – 3b

Graph

Graph

Graph

0 -8 -12 4 8 12 -4

-8 -12 -14 -6 -4 -2 -10

0 -8 -12 4 8 12 -4

On a rating of 1-5, how comfortable are you with this concept?

(5 is the highest)

1 2 3 4 5

©2017 Math in Demand

+ 3 + 3 5x > -15 5 5

x > -3

+ 7 + 7 -2x ≤ 22 -2 -2

x ≥ -11

-28 -28 -18 < -3b -3 -3

6 > b OR b < 6

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