Question: [tex]\bold{-3x+4<16}[/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 4 from both sides of equation
[tex]\bold{-3x+4-4<16-4}[/tex]
[ Step Two ] Simplify
[tex]\bold{-3x<12}[/tex]
[ Step Three ] Multiply both sides by -1 (Reverse inequality)
[tex]\bold{\left(-3x\right)\left(-1\right)>12\left(-1\right)}[/tex]
[ Step Four ] Simplify
[tex]\bold{3x>-12}[/tex]
[ Step Five ] Divide both sides by 3
[tex]\bold{\frac{3x}{3}>\frac{-12}{3}}[/tex]
[ Step Six ] Simplify
[tex]\bold{x>-4}[/tex]
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[tex]\bold{\rightarrow Rhythm \ Bot \leftarrow}[/tex]
