Q:

-3x + 4 <16What is the answer to this inequality?

Accepted Solution

A:
Question: [tex]\bold{-3x+4<16}[/tex]<><><><><>Answer: [tex]\boxed{\bold{x>-4}}[/tex]<><><><><>Explanation: [tex]\downarrow\downarrow\downarrow[/tex]<><><><><>[ 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]<><><><><><><>[tex]\bold{\rightarrow Rhythm \ Bot \leftarrow}[/tex]