How do you solve $47 > 4 u - 9$ $47> 4u - 9$ ?

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Answer 1 · 2018-02-01T16:32:07

See a solution process below:

First, add $9$ $color(red)(9)$ to each side of the equation to isolate the $u$ $u$ term while keeping the equation balanced:

$47 + 9 > 4 u - 9 + 9$ $47 + color(red)(9) > 4u - 9 + color(red)(9)$

$56 > 4 u - 0$ $56 > 4u - 0$

$56 > 4 u$ $56 > 4u$

Now, divide each side of the equation by $4$ $color(red)(4)$ to solve for $u$ $u$ while keeping the equation balanced:

$\frac{56}{4} > \frac{4 u}{4}$ $56/color(red)(4) > (4u)/color(red)(4)$

$14 > (color(red)(cancel(color(black)(4)))u)/cancel(color(red)(4))$

$14 > u$

We can reverse or "flip" the entire inequality to state the solution in terms of $u$

$u < 14$

How do you solve 47> 4u - 947>4u−947> 4u - 9?