Question

-3x + 4 <16

What is the answer to this inequality?

Answer 1

Question:
`\bold{-3x+4<16}`

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Answer:
`\boxed{\bold{x>-4}}`

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Explanation:
`\downarrow\downarrow\downarrow`

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[ Step One ] Subtract 4 from both sides of equation

`\bold{-3x+4-4<16-4}`

[ Step Two ] Simplify

`\bold{-3x<12}`

[ Step Three ] Multiply both sides by -1 (Reverse inequality)

`\bold{\left(-3x\right)\left(-1\right)>12\left(-1\right)}`

[ Step Four ] Simplify

`\bold{3x>-12}`

[ Step Five ] Divide both sides by 3

`\bold{(3x)/(3)>(-12)/(3)}`

[ Step Six ] Simplify

`\bold{x>-4}`

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`\bold{\rightarrow Rhythm \ Bot \leftarrow}`