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What interval consists of all $w$ which satisfy ${\bf neither}$ $-2(6+2w)\le -16$ nor $-3w\ge 18$ ?

 Jun 16, 2021
 #1
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-2(6 + 2w) ≤ -16             and            -3w ≥ 18 

⇒ -12 - 4w ≤ -16                                  w ≤ -6

⇒ -4w ≤ -4 

        w ≥ 1

Now value interval of w = (-∞, -6] ∪ [1,∞)

 

∴ w doesn't exist in the interval = [-6,1]

 Jun 17, 2021

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