How do you solve $-9>=2/5m+7$ ?

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Answer 1 · 2017-04-24T11:44:44

See the solution process below:

Step 1) Subtract $color(red)(7)$ from each side of the inequality to isolate the $m$ term while keeping the inequality balanced:

$-9 - color(red)(7) >= 2/5m + 7 - color(red)(7)$

$-16 >= 2/5m + 0$

$-16 >= 2/5m$

Step 2) Multiply each side of the inequality by $color(red)(5)/color(blue)(2)$ to solve for $m$ while keeping the inequality balanced:

$color(red)(5)/color(blue)(2) * -16 >= color(red)(5)/color(blue)(2) * 2/5m$

$-80/color(blue)(2) >= cancel(color(red)(5))/cancel(color(blue)(2)) * color(blue)(cancel(color(black)(2)))/color(red)(cancel(color(black)(5)))m$

$-40 >= m$

To state the solution in terms of $m$ we can reverse or "flip" the entire inequality:

$m <= -40$

Answer 2 · 2017-04-24T11:49:08

Solution : $m <= -40 or (-oo,-40]$

$-9 >= 2/5 m +7 or -9-7 >= 2/5 m or 5/2*(-16) >= m or -40 >=m or m<= -40$
Solution : $m <= -40 or (-oo,-40]$ [Ans]

How do you solve -9>=2/5m+7-9>=2/5m+7?