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Name:__________________ Describing Steps in solving a Linear InequalityBelow you will find the completed steps to a problem with directions

Name:__________________
Describing Steps in solving a Linear Inequality

Below you will find the completed steps to a problem with directions β€œSolve the linear inequality, show the

solution on a number line, and write the solution in interval notation.” Write a description of what happened in

each step and answer the questions.

Solve the linear inequality
1. 4(π‘₯ βˆ’ 3) < 2 βˆ’ 3(3π‘₯ βˆ’ 4)

2. 4π‘₯ βˆ’ 12 < 2 βˆ’ 9π‘₯ + 12

3. 4π‘₯ βˆ’ 12 < βˆ’9π‘₯ + 14

4. 13π‘₯ βˆ’ 12 < 14

5. 13π‘₯ < 26

6. π‘₯ < 2

a) From step one to step two:

b) From step two to step three:

c) From step three to step four:

d) From step four to step five:

e) From step five to step six:

Number line solution
Step one: place a ( or a [.

f) A parenthesis was placed on the line, is this
correct? Why or why not?

Step two: shade

g) The line was shaded to the left, is this

correct? Why or why not?

Interval notation
𝐴. (βˆ’βˆž, 2], 𝐡. (βˆ’βˆž, 2)

𝐢. [2, ∞) 𝐷. (2, ∞)

h) Which is the correct interval notation and
why? (Describe each parenthesis and/or
bracket and infinity in your explanation.)

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