Assignment: [tex]\bold{Solve \ Equation: \ -2x+5<13}[/tex]
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Answer: [tex]\boxed{\bold{x>-4}}[/tex]
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Explanation: [tex]\downarrow\downarrow\downarrow[/tex]
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[ Step One ] Subtract 5 From Both Sides
[tex]\bold{-2x+5-5<13-5}[/tex]
[ Step Two ] Simplify
[tex]\bold{-2x<8}[/tex]
[ Step Three ] Multiply Both Sides By -1 (Reverse Inequality)
[tex]\bold{\left(-2x\right)\left(-1\right)>8\left(-1\right)}[/tex]
[ Step Four ] Simplify
[tex]\bold{2x>-8}[/tex]
[ Step Five ] Divide Both Sides By 2
[tex]\bold{\frac{2x}{2}>\frac{-8}{2}}[/tex]
[ Step Six ] Simplify
[tex]\bold{x>-4}[/tex]
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[tex]\bold{\rightarrow Mordancy \leftarrow}[/tex]