Question 209150
Please help! {{ w/-2 is a fraction}}

9-w/-2>-15

{{{9-W/-2 > - 15}}}


- 18 - W < 30 Multiply inequality by LCD, - 2, as inequality sign changes


- W < 48

{{{W > 48/-1}}} Inequality sign changes when dividing by a negative

Therefore, {{{highlight_green(W > - 48)}}}

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Check
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Let W = - 46 (W > - 48)

Then {{{9-W/-2 > - 15}}} = {{{9-(-46)/-2 > - 15}}}  ------>  (9 - 23) > - 15  --->  - 14 > - 15