2.3 Activities

Activity 2.7.1

Linear Inequality Notation Matching Game

[latex](-6,2)[/latex]
[latex](-5,1\rbrack[/latex]

 

[latex]\lbrack1,8)[/latex]
[latex](-\infty,-6)\;\cup\;(2,\infty)[/latex]

 

[latex]\{x\vert x>5\;and\; x\leq1\}[/latex]
[latex]\{x\vert x>-6\;and\;x<6)[/latex]

 

[latex]\{x\vert x\leq-4\;or\;x>2\}[/latex]
[latex](-\infty,-4\rbrack\;\cup\;(2,\infty)[/latex]

 

[latex]\lbrack1,4)[/latex]
[latex](6,\infty)[/latex]

 

[latex]x\leq-6\;or\;x>2[/latex]
[latex]x\geq1\;and\;x<8[/latex]

 

[latex]x>-5\;and\;x\leq1[/latex]
[latex]x(2,6)[/latex]

 

[latex]x>2\;and\;x<6[/latex]
[latex]x>6[/latex]

 

[latex](6,-6)[/latex]
[latex]\{x\vert x\geq1\;and\;x<4\}[/latex]

 


Activity 2.7.2

Solving Absolute Value Inequalities

Solve the absolute value inequality, graph the solution on the number line and write solution in interval notation.

[latex]|c|-3\leq0[/latex]

[latex]|\frac{n}{4}|\leq3[/latex]

[latex]|-9p|\leq54[/latex]

[latex]|q|-3>-2[/latex]

[latex]|10+4x|<14[/latex] [latex]-|\frac{x-4}{5}|\geq2[/latex] [latex]2|x|+14>32[/latex]

[latex]\frac{|3+r}{7}\leq5[/latex]

[latex]|b-8|+10>22[/latex]

[latex]|\frac{x}{6}|\geq5[/latex]

 

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