Answer:
TWO COLUMN PROOF
Fill in the blanks by identifying the property of inequality used in each of the following:
1. [tex]\sf{x + 11 ≥ 23}[/tex] [tex]\underline{\sf{Given}}[/tex]
[tex]\sf{x + 11 + (-11) ≥ 23 + (-11)}[/tex] [tex]\underline{\sf{Addition \: Property \: of \: Equality}}[/tex]
[tex]\sf{x ≥ 12}[/tex] [tex]\underline{\sf{Simplification}}[/tex]
2. [tex]\sf{5x < -15}[/tex] [tex]\underline{\sf{Given}}[/tex]
(5x) 1/5 < (-15) 1/5 [tex]\underline{\sf{Multiplication \: Property \: of \: Inequality}}[/tex]
x < -3
3. [tex]\sf{3x - 7 > 14} [tex]\underline{\sf{Given}}[/tex]
[tex]\sf{3x - 7 + 7 > 14 + 7}[/tex] [tex]\underline{\sf{Addition \: Property \: of \: Inequality}}[/tex]
[tex]\sf{(3x) 1/3 > (21) 1/3}[/tex] [tex]\underline{\sf{Multiplication \: Property \: of \: Inequality}}[/tex]
[tex]\sf{x > 7}[/tex] [tex]\underline{\sf{Simplification}}[/tex]
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